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Finding the Fourth Proportional to 664.57, 916.14 and 498.52

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Solution

The fourth proportional to 664.57, 916.14 and 498.52 is: 687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.57 : 916.14 = 498.52 : x
  2. Step 2: Convert to fraction form
    664.57/916.14 = 498.52/x
  3. Step 3: Cross multiply
    664.57x = 916.14 × 498.52
  4. Step 4: Simplify right side
    664.57x = 456,714.11
  5. Step 5: Solve for x
    x = 456,714.11/664.57
  6. Step 6: Final answer
    x = 687.23

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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.