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Finding the Fourth Proportional to 566.35, 781.21 and 471.58

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Solution

The fourth proportional to 566.35, 781.21 and 471.58 is: 650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.35 : 781.21 = 471.58 : x
  2. Step 2: Convert to fraction form
    566.35/781.21 = 471.58/x
  3. Step 3: Cross multiply
    566.35x = 781.21 × 471.58
  4. Step 4: Simplify right side
    566.35x = 368,403.01
  5. Step 5: Solve for x
    x = 368,403.01/566.35
  6. Step 6: Final answer
    x = 650.49

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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.