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Finding the Fourth Proportional to 566.03, 781.49 and 369.47

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Solution

The fourth proportional to 566.03, 781.49 and 369.47 is: 510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.03 : 781.49 = 369.47 : x
  2. Step 2: Convert to fraction form
    566.03/781.49 = 369.47/x
  3. Step 3: Cross multiply
    566.03x = 781.49 × 369.47
  4. Step 4: Simplify right side
    566.03x = 288,734.13
  5. Step 5: Solve for x
    x = 288,734.13/566.03
  6. Step 6: Final answer
    x = 510.11

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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.