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Finding the Fourth Proportional to 657.72, 907.20 and 500.45

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Solution

The fourth proportional to 657.72, 907.20 and 500.45 is: 690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.72 : 907.20 = 500.45 : x
  2. Step 2: Convert to fraction form
    657.72/907.20 = 500.45/x
  3. Step 3: Cross multiply
    657.72x = 907.20 × 500.45
  4. Step 4: Simplify right side
    657.72x = 454,003.70
  5. Step 5: Solve for x
    x = 454,003.70/657.72
  6. Step 6: Final answer
    x = 690.27

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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.