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Finding the Fourth Proportional to 532.70, 797.96 and 315.76

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Solution

The fourth proportional to 532.70, 797.96 and 315.76 is: 472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.70 : 797.96 = 315.76 : x
  2. Step 2: Convert to fraction form
    532.70/797.96 = 315.76/x
  3. Step 3: Cross multiply
    532.70x = 797.96 × 315.76
  4. Step 4: Simplify right side
    532.70x = 251,963.85
  5. Step 5: Solve for x
    x = 251,963.85/532.70
  6. Step 6: Final answer
    x = 472.99

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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.