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Finding the Fourth Proportional to 458.78, 633.17 and 342.14

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Solution

The fourth proportional to 458.78, 633.17 and 342.14 is: 472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.78 : 633.17 = 342.14 : x
  2. Step 2: Convert to fraction form
    458.78/633.17 = 342.14/x
  3. Step 3: Cross multiply
    458.78x = 633.17 × 342.14
  4. Step 4: Simplify right side
    458.78x = 216,631.07
  5. Step 5: Solve for x
    x = 216,631.07/458.78
  6. Step 6: Final answer
    x = 472.19

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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.