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Finding the Fourth Proportional to 493.98, 742.59 and 458.34

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Solution

The fourth proportional to 493.98, 742.59 and 458.34 is: 689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.98 : 742.59 = 458.34 : x
  2. Step 2: Convert to fraction form
    493.98/742.59 = 458.34/x
  3. Step 3: Cross multiply
    493.98x = 742.59 × 458.34
  4. Step 4: Simplify right side
    493.98x = 340,358.70
  5. Step 5: Solve for x
    x = 340,358.70/493.98
  6. Step 6: Final answer
    x = 689.01

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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.