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Finding the Fourth Proportional to 407.45, 562.53 and 252.47

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Solution

The fourth proportional to 407.45, 562.53 and 252.47 is: 348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.45 : 562.53 = 252.47 : x
  2. Step 2: Convert to fraction form
    407.45/562.53 = 252.47/x
  3. Step 3: Cross multiply
    407.45x = 562.53 × 252.47
  4. Step 4: Simplify right side
    407.45x = 142,019.14
  5. Step 5: Solve for x
    x = 142,019.14/407.45
  6. Step 6: Final answer
    x = 348.56

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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.