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Finding the Fourth Proportional to 657.84, 907.20 and 502.32

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Solution

The fourth proportional to 657.84, 907.20 and 502.32 is: 692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.84 : 907.20 = 502.32 : x
  2. Step 2: Convert to fraction form
    657.84/907.20 = 502.32/x
  3. Step 3: Cross multiply
    657.84x = 907.20 × 502.32
  4. Step 4: Simplify right side
    657.84x = 455,704.70
  5. Step 5: Solve for x
    x = 455,704.70/657.84
  6. Step 6: Final answer
    x = 692.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.