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Finding the Fourth Proportional to 524.31, 786.56 and 177.77

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Solution

The fourth proportional to 524.31, 786.56 and 177.77 is: 266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.31 : 786.56 = 177.77 : x
  2. Step 2: Convert to fraction form
    524.31/786.56 = 177.77/x
  3. Step 3: Cross multiply
    524.31x = 786.56 × 177.77
  4. Step 4: Simplify right side
    524.31x = 139,821.95
  5. Step 5: Solve for x
    x = 139,821.95/524.31
  6. Step 6: Final answer
    x = 266.68

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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.