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Finding the Fourth Proportional to 566.17, 781.05 and 369.61

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Solution

The fourth proportional to 566.17, 781.05 and 369.61 is: 509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.17 : 781.05 = 369.61 : x
  2. Step 2: Convert to fraction form
    566.17/781.05 = 369.61/x
  3. Step 3: Cross multiply
    566.17x = 781.05 × 369.61
  4. Step 4: Simplify right side
    566.17x = 288,683.89
  5. Step 5: Solve for x
    x = 288,683.89/566.17
  6. Step 6: Final answer
    x = 509.89

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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.