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Finding the Fourth Proportional to 305.53, 458.24 and 86.10

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Solution

The fourth proportional to 305.53, 458.24 and 86.10 is: 129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.53 : 458.24 = 86.10 : x
  2. Step 2: Convert to fraction form
    305.53/458.24 = 86.10/x
  3. Step 3: Cross multiply
    305.53x = 458.24 × 86.10
  4. Step 4: Simplify right side
    305.53x = 39,455.05
  5. Step 5: Solve for x
    x = 39,455.05/305.53
  6. Step 6: Final answer
    x = 129.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.