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Finding the Fourth Proportional to 458.78, 633.06 and 292.92

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Solution

The fourth proportional to 458.78, 633.06 and 292.92 is: 404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.78 : 633.06 = 292.92 : x
  2. Step 2: Convert to fraction form
    458.78/633.06 = 292.92/x
  3. Step 3: Cross multiply
    458.78x = 633.06 × 292.92
  4. Step 4: Simplify right side
    458.78x = 185,435.94
  5. Step 5: Solve for x
    x = 185,435.94/458.78
  6. Step 6: Final answer
    x = 404.19

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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.