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Finding the Fourth Proportional to 566.48, 781.76 and 426.37

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Solution

The fourth proportional to 566.48, 781.76 and 426.37 is: 588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.48 : 781.76 = 426.37 : x
  2. Step 2: Convert to fraction form
    566.48/781.76 = 426.37/x
  3. Step 3: Cross multiply
    566.48x = 781.76 × 426.37
  4. Step 4: Simplify right side
    566.48x = 333,319.01
  5. Step 5: Solve for x
    x = 333,319.01/566.48
  6. Step 6: Final answer
    x = 588.40

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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.