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Finding the Fourth Proportional to 524.17, 786.31 and 177.49

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Solution

The fourth proportional to 524.17, 786.31 and 177.49 is: 266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.17 : 786.31 = 177.49 : x
  2. Step 2: Convert to fraction form
    524.17/786.31 = 177.49/x
  3. Step 3: Cross multiply
    524.17x = 786.31 × 177.49
  4. Step 4: Simplify right side
    524.17x = 139,562.70
  5. Step 5: Solve for x
    x = 139,562.70/524.17
  6. Step 6: Final answer
    x = 266.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.