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Finding the Fourth Proportional to 458.78, 636.10 and 435.42

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Solution

The fourth proportional to 458.78, 636.10 and 435.42 is: 603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.78 : 636.10 = 435.42 : x
  2. Step 2: Convert to fraction form
    458.78/636.10 = 435.42/x
  3. Step 3: Cross multiply
    458.78x = 636.10 × 435.42
  4. Step 4: Simplify right side
    458.78x = 276,969.57
  5. Step 5: Solve for x
    x = 276,969.57/458.78
  6. Step 6: Final answer
    x = 603.72

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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.