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Finding the Fourth Proportional to 657.57, 906.33 and 460.74

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Solution

The fourth proportional to 657.57, 906.33 and 460.74 is: 635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.57 : 906.33 = 460.74 : x
  2. Step 2: Convert to fraction form
    657.57/906.33 = 460.74/x
  3. Step 3: Cross multiply
    657.57x = 906.33 × 460.74
  4. Step 4: Simplify right side
    657.57x = 417,582.48
  5. Step 5: Solve for x
    x = 417,582.48/657.57
  6. Step 6: Final answer
    x = 635.04

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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.