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Finding the Fourth Proportional to 458.62, 688.10 and 276.14

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Solution

The fourth proportional to 458.62, 688.10 and 276.14 is: 414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.62 : 688.10 = 276.14 : x
  2. Step 2: Convert to fraction form
    458.62/688.10 = 276.14/x
  3. Step 3: Cross multiply
    458.62x = 688.10 × 276.14
  4. Step 4: Simplify right side
    458.62x = 190,011.93
  5. Step 5: Solve for x
    x = 190,011.93/458.62
  6. Step 6: Final answer
    x = 414.31

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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.