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Finding the Fourth Proportional to 668.48, 1,002.40 and 463.20

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Solution

The fourth proportional to 668.48, 1,002.40 and 463.20 is: 694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.48 : 1,002.40 = 463.20 : x
  2. Step 2: Convert to fraction form
    668.48/1,002.40 = 463.20/x
  3. Step 3: Cross multiply
    668.48x = 1,002.40 × 463.20
  4. Step 4: Simplify right side
    668.48x = 464,311.68
  5. Step 5: Solve for x
    x = 464,311.68/668.48
  6. Step 6: Final answer
    x = 694.58

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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.