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Finding the Fourth Proportional to 657.29, 907.43 and 436.53

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Solution

The fourth proportional to 657.29, 907.43 and 436.53 is: 602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.29 : 907.43 = 436.53 : x
  2. Step 2: Convert to fraction form
    657.29/907.43 = 436.53/x
  3. Step 3: Cross multiply
    657.29x = 907.43 × 436.53
  4. Step 4: Simplify right side
    657.29x = 396,118.24
  5. Step 5: Solve for x
    x = 396,118.24/657.29
  6. Step 6: Final answer
    x = 602.66

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