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Finding the Fourth Proportional to 532.30, 797.58 and 512.04

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Solution

The fourth proportional to 532.30, 797.58 and 512.04 is: 767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.30 : 797.58 = 512.04 : x
  2. Step 2: Convert to fraction form
    532.30/797.58 = 512.04/x
  3. Step 3: Cross multiply
    532.30x = 797.58 × 512.04
  4. Step 4: Simplify right side
    532.30x = 408,392.86
  5. Step 5: Solve for x
    x = 408,392.86/532.30
  6. Step 6: Final answer
    x = 767.22

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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.