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Finding the Fourth Proportional to 524.53, 787.20 and 341.47

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Solution

The fourth proportional to 524.53, 787.20 and 341.47 is: 512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.53 : 787.20 = 341.47 : x
  2. Step 2: Convert to fraction form
    524.53/787.20 = 341.47/x
  3. Step 3: Cross multiply
    524.53x = 787.20 × 341.47
  4. Step 4: Simplify right side
    524.53x = 268,805.18
  5. Step 5: Solve for x
    x = 268,805.18/524.53
  6. Step 6: Final answer
    x = 512.47

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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.