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Finding the Fourth Proportional to 657.48, 906.96 and 417.77

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Solution

The fourth proportional to 657.48, 906.96 and 417.77 is: 576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.48 : 906.96 = 417.77 : x
  2. Step 2: Convert to fraction form
    657.48/906.96 = 417.77/x
  3. Step 3: Cross multiply
    657.48x = 906.96 × 417.77
  4. Step 4: Simplify right side
    657.48x = 378,901.11
  5. Step 5: Solve for x
    x = 378,901.11/657.48
  6. Step 6: Final answer
    x = 576.29

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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.