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Finding the Fourth Proportional to 524.78, 787.17 and 308.06

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Solution

The fourth proportional to 524.78, 787.17 and 308.06 is: 462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.78 : 787.17 = 308.06 : x
  2. Step 2: Convert to fraction form
    524.78/787.17 = 308.06/x
  3. Step 3: Cross multiply
    524.78x = 787.17 × 308.06
  4. Step 4: Simplify right side
    524.78x = 242,495.59
  5. Step 5: Solve for x
    x = 242,495.59/524.78
  6. Step 6: Final answer
    x = 462.09

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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.