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Finding the Fourth Proportional to 458.60, 688.40 and 242.12

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Solution

The fourth proportional to 458.60, 688.40 and 242.12 is: 363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.60 : 688.40 = 242.12 : x
  2. Step 2: Convert to fraction form
    458.60/688.40 = 242.12/x
  3. Step 3: Cross multiply
    458.60x = 688.40 × 242.12
  4. Step 4: Simplify right side
    458.60x = 166,675.41
  5. Step 5: Solve for x
    x = 166,675.41/458.60
  6. Step 6: Final answer
    x = 363.44

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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.