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Finding the Fourth Proportional to 657.18, 985.96 and 292.02

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Solution

The fourth proportional to 657.18, 985.96 and 292.02 is: 438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.18 : 985.96 = 292.02 : x
  2. Step 2: Convert to fraction form
    657.18/985.96 = 292.02/x
  3. Step 3: Cross multiply
    657.18x = 985.96 × 292.02
  4. Step 4: Simplify right side
    657.18x = 287,920.04
  5. Step 5: Solve for x
    x = 287,920.04/657.18
  6. Step 6: Final answer
    x = 438.11

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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.