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Finding the Fourth Proportional to 524.61, 786.91 and 177.88

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Solution

The fourth proportional to 524.61, 786.91 and 177.88 is: 266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.61 : 786.91 = 177.88 : x
  2. Step 2: Convert to fraction form
    524.61/786.91 = 177.88/x
  3. Step 3: Cross multiply
    524.61x = 786.91 × 177.88
  4. Step 4: Simplify right side
    524.61x = 139,975.55
  5. Step 5: Solve for x
    x = 139,975.55/524.61
  6. Step 6: Final answer
    x = 266.82

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