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Finding the Fourth Proportional to 566.88, 786.17 and 531.24

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Solution

The fourth proportional to 566.88, 786.17 and 531.24 is: 736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.88 : 786.17 = 531.24 : x
  2. Step 2: Convert to fraction form
    566.88/786.17 = 531.24/x
  3. Step 3: Cross multiply
    566.88x = 786.17 × 531.24
  4. Step 4: Simplify right side
    566.88x = 417,642.29
  5. Step 5: Solve for x
    x = 417,642.29/566.88
  6. Step 6: Final answer
    x = 736.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.