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Finding the Fourth Proportional to 524.89, 787.68 and 371.13

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Solution

The fourth proportional to 524.89, 787.68 and 371.13 is: 556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.89 : 787.68 = 371.13 : x
  2. Step 2: Convert to fraction form
    524.89/787.68 = 371.13/x
  3. Step 3: Cross multiply
    524.89x = 787.68 × 371.13
  4. Step 4: Simplify right side
    524.89x = 292,331.68
  5. Step 5: Solve for x
    x = 292,331.68/524.89
  6. Step 6: Final answer
    x = 556.94

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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.