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Finding the Fourth Proportional to 657.90, 907.11 and 482.94

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Solution

The fourth proportional to 657.90, 907.11 and 482.94 is: 665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.90 : 907.11 = 482.94 : x
  2. Step 2: Convert to fraction form
    657.90/907.11 = 482.94/x
  3. Step 3: Cross multiply
    657.90x = 907.11 × 482.94
  4. Step 4: Simplify right side
    657.90x = 438,079.70
  5. Step 5: Solve for x
    x = 438,079.70/657.90
  6. Step 6: Final answer
    x = 665.88

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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.