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Finding the Fourth Proportional to 583.40, 875.12 and 198.92

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Solution

The fourth proportional to 583.40, 875.12 and 198.92 is: 298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.40 : 875.12 = 198.92 : x
  2. Step 2: Convert to fraction form
    583.40/875.12 = 198.92/x
  3. Step 3: Cross multiply
    583.40x = 875.12 × 198.92
  4. Step 4: Simplify right side
    583.40x = 174,078.87
  5. Step 5: Solve for x
    x = 174,078.87/583.40
  6. Step 6: Final answer
    x = 298.39

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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.