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Finding the Fourth Proportional to 583.97, 875.74 and 193.90

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Solution

The fourth proportional to 583.97, 875.74 and 193.90 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.97 : 875.74 = 193.90 : x
  2. Step 2: Convert to fraction form
    583.97/875.74 = 193.90/x
  3. Step 3: Cross multiply
    583.97x = 875.74 × 193.90
  4. Step 4: Simplify right side
    583.97x = 169,803.31
  5. Step 5: Solve for x
    x = 169,803.31/583.97
  6. Step 6: Final answer
    x = 290.78

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Double scale
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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.