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Finding the Fourth Proportional to 589.18, 884.40 and 524.58

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Solution

The fourth proportional to 589.18, 884.40 and 524.58 is: 787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.18 : 884.40 = 524.58 : x
  2. Step 2: Convert to fraction form
    589.18/884.40 = 524.58/x
  3. Step 3: Cross multiply
    589.18x = 884.40 × 524.58
  4. Step 4: Simplify right side
    589.18x = 463,938.55
  5. Step 5: Solve for x
    x = 463,938.55/589.18
  6. Step 6: Final answer
    x = 787.43

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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.