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Finding the Fourth Proportional to 657.55, 986.43 and 292.32

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Solution

The fourth proportional to 657.55, 986.43 and 292.32 is: 438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.55 : 986.43 = 292.32 : x
  2. Step 2: Convert to fraction form
    657.55/986.43 = 292.32/x
  3. Step 3: Cross multiply
    657.55x = 986.43 × 292.32
  4. Step 4: Simplify right side
    657.55x = 288,354.31
  5. Step 5: Solve for x
    x = 288,354.31/657.55
  6. Step 6: Final answer
    x = 438.53

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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.