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Finding the Fourth Proportional to 461.46, 688.92 and 400.32

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Solution

The fourth proportional to 461.46, 688.92 and 400.32 is: 597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.46 : 688.92 = 400.32 : x
  2. Step 2: Convert to fraction form
    461.46/688.92 = 400.32/x
  3. Step 3: Cross multiply
    461.46x = 688.92 × 400.32
  4. Step 4: Simplify right side
    461.46x = 275,788.45
  5. Step 5: Solve for x
    x = 275,788.45/461.46
  6. Step 6: Final answer
    x = 597.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.