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Finding the Fourth Proportional to 583.80, 875.58 and 199.02

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Solution

The fourth proportional to 583.80, 875.58 and 199.02 is: 298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.80 : 875.58 = 199.02 : x
  2. Step 2: Convert to fraction form
    583.80/875.58 = 199.02/x
  3. Step 3: Cross multiply
    583.80x = 875.58 × 199.02
  4. Step 4: Simplify right side
    583.80x = 174,257.93
  5. Step 5: Solve for x
    x = 174,257.93/583.80
  6. Step 6: Final answer
    x = 298.49

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.