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Finding the Fourth Proportional to 532, 796.20 and 463.72

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Solution

The fourth proportional to 532, 796.20 and 463.72 is: 694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    532 : 796.20 = 463.72 : x
  2. Step 2: Convert to fraction form
    532/796.20 = 463.72/x
  3. Step 3: Cross multiply
    532x = 796.20 × 463.72
  4. Step 4: Simplify right side
    532x = 369,213.86
  5. Step 5: Solve for x
    x = 369,213.86/532
  6. Step 6: Final answer
    x = 694.01

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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.