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Finding the Fourth Proportional to 657.59, 906.39 and 460.76

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Solution

The fourth proportional to 657.59, 906.39 and 460.76 is: 635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.59 : 906.39 = 460.76 : x
  2. Step 2: Convert to fraction form
    657.59/906.39 = 460.76/x
  3. Step 3: Cross multiply
    657.59x = 906.39 × 460.76
  4. Step 4: Simplify right side
    657.59x = 417,623.72
  5. Step 5: Solve for x
    x = 417,623.72/657.59
  6. Step 6: Final answer
    x = 635.09

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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.