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Finding the Fourth Proportional to 666.03, 997.08 and 493.47

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Solution

The fourth proportional to 666.03, 997.08 and 493.47 is: 738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.03 : 997.08 = 493.47 : x
  2. Step 2: Convert to fraction form
    666.03/997.08 = 493.47/x
  3. Step 3: Cross multiply
    666.03x = 997.08 × 493.47
  4. Step 4: Simplify right side
    666.03x = 492,024.08
  5. Step 5: Solve for x
    x = 492,024.08/666.03
  6. Step 6: Final answer
    x = 738.74

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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.