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Finding the Fourth Proportional to 566.25, 781.08 and 369.76

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Solution

The fourth proportional to 566.25, 781.08 and 369.76 is: 510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.25 : 781.08 = 369.76 : x
  2. Step 2: Convert to fraction form
    566.25/781.08 = 369.76/x
  3. Step 3: Cross multiply
    566.25x = 781.08 × 369.76
  4. Step 4: Simplify right side
    566.25x = 288,810.27
  5. Step 5: Solve for x
    x = 288,810.27/566.25
  6. Step 6: Final answer
    x = 510.04

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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.