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Finding the Fourth Proportional to 462.47, 636.31 and 400.10

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Solution

The fourth proportional to 462.47, 636.31 and 400.10 is: 550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.47 : 636.31 = 400.10 : x
  2. Step 2: Convert to fraction form
    462.47/636.31 = 400.10/x
  3. Step 3: Cross multiply
    462.47x = 636.31 × 400.10
  4. Step 4: Simplify right side
    462.47x = 254,587.63
  5. Step 5: Solve for x
    x = 254,587.63/462.47
  6. Step 6: Final answer
    x = 550.50

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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.