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Finding the Fourth Proportional to 458.64, 687.42 and 242.10

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Solution

The fourth proportional to 458.64, 687.42 and 242.10 is: 362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.64 : 687.42 = 242.10 : x
  2. Step 2: Convert to fraction form
    458.64/687.42 = 242.10/x
  3. Step 3: Cross multiply
    458.64x = 687.42 × 242.10
  4. Step 4: Simplify right side
    458.64x = 166,424.38
  5. Step 5: Solve for x
    x = 166,424.38/458.64
  6. Step 6: Final answer
    x = 362.86

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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.