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Finding the Fourth Proportional to 581.20, 801.30 and 406.24

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Solution

The fourth proportional to 581.20, 801.30 and 406.24 is: 560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.20 : 801.30 = 406.24 : x
  2. Step 2: Convert to fraction form
    581.20/801.30 = 406.24/x
  3. Step 3: Cross multiply
    581.20x = 801.30 × 406.24
  4. Step 4: Simplify right side
    581.20x = 325,520.11
  5. Step 5: Solve for x
    x = 325,520.11/581.20
  6. Step 6: Final answer
    x = 560.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.