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Finding the Fourth Proportional to 566.00, 781.41 and 432.98

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Solution

The fourth proportional to 566.00, 781.41 and 432.98 is: 597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.00 : 781.41 = 432.98 : x
  2. Step 2: Convert to fraction form
    566.00/781.41 = 432.98/x
  3. Step 3: Cross multiply
    566.00x = 781.41 × 432.98
  4. Step 4: Simplify right side
    566.00x = 338,335.55
  5. Step 5: Solve for x
    x = 338,335.55/566.00
  6. Step 6: Final answer
    x = 597.77

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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.