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Finding the Fourth Proportional to 458.74, 687.57 and 242.02

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Solution

The fourth proportional to 458.74, 687.57 and 242.02 is: 362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.74 : 687.57 = 242.02 : x
  2. Step 2: Convert to fraction form
    458.74/687.57 = 242.02/x
  3. Step 3: Cross multiply
    458.74x = 687.57 × 242.02
  4. Step 4: Simplify right side
    458.74x = 166,405.69
  5. Step 5: Solve for x
    x = 166,405.69/458.74
  6. Step 6: Final answer
    x = 362.75

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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.