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Finding the Fourth Proportional to 458.78, 636.03 and 434.16

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Solution

The fourth proportional to 458.78, 636.03 and 434.16 is: 601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.78 : 636.03 = 434.16 : x
  2. Step 2: Convert to fraction form
    458.78/636.03 = 434.16/x
  3. Step 3: Cross multiply
    458.78x = 636.03 × 434.16
  4. Step 4: Simplify right side
    458.78x = 276,138.78
  5. Step 5: Solve for x
    x = 276,138.78/458.78
  6. Step 6: Final answer
    x = 601.90

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.