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Finding the Fourth Proportional to 563.04, 773.28 and 511.20

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Solution

The fourth proportional to 563.04, 773.28 and 511.20 is: 702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.04 : 773.28 = 511.20 : x
  2. Step 2: Convert to fraction form
    563.04/773.28 = 511.20/x
  3. Step 3: Cross multiply
    563.04x = 773.28 × 511.20
  4. Step 4: Simplify right side
    563.04x = 395,300.74
  5. Step 5: Solve for x
    x = 395,300.74/563.04
  6. Step 6: Final answer
    x = 702.08

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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.