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Finding the Fourth Proportional to 524.47, 786.71 and 177.76

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Solution

The fourth proportional to 524.47, 786.71 and 177.76 is: 266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.47 : 786.71 = 177.76 : x
  2. Step 2: Convert to fraction form
    524.47/786.71 = 177.76/x
  3. Step 3: Cross multiply
    524.47x = 786.71 × 177.76
  4. Step 4: Simplify right side
    524.47x = 139,845.57
  5. Step 5: Solve for x
    x = 139,845.57/524.47
  6. Step 6: Final answer
    x = 266.64

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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.