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Finding the Fourth Proportional to 532.80, 730.80 and 511.20

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Solution

The fourth proportional to 532.80, 730.80 and 511.20 is: 701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.80 : 730.80 = 511.20 : x
  2. Step 2: Convert to fraction form
    532.80/730.80 = 511.20/x
  3. Step 3: Cross multiply
    532.80x = 730.80 × 511.20
  4. Step 4: Simplify right side
    532.80x = 373,584.96
  5. Step 5: Solve for x
    x = 373,584.96/532.80
  6. Step 6: Final answer
    x = 701.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.