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Finding the Fourth Proportional to 524.61, 787.01 and 159.35

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Solution

The fourth proportional to 524.61, 787.01 and 159.35 is: 239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.61 : 787.01 = 159.35 : x
  2. Step 2: Convert to fraction form
    524.61/787.01 = 159.35/x
  3. Step 3: Cross multiply
    524.61x = 787.01 × 159.35
  4. Step 4: Simplify right side
    524.61x = 125,405.31
  5. Step 5: Solve for x
    x = 125,405.31/524.61
  6. Step 6: Final answer
    x = 239.04

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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.