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Finding the Fourth Proportional to 532.14, 797.96 and 312.88

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Solution

The fourth proportional to 532.14, 797.96 and 312.88 is: 469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.14 : 797.96 = 312.88 : x
  2. Step 2: Convert to fraction form
    532.14/797.96 = 312.88/x
  3. Step 3: Cross multiply
    532.14x = 797.96 × 312.88
  4. Step 4: Simplify right side
    532.14x = 249,665.72
  5. Step 5: Solve for x
    x = 249,665.72/532.14
  6. Step 6: Final answer
    x = 469.17

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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.