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Finding the Fourth Proportional to 663.62, 915.81 and 383.87

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Solution

The fourth proportional to 663.62, 915.81 and 383.87 is: 529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.62 : 915.81 = 383.87 : x
  2. Step 2: Convert to fraction form
    663.62/915.81 = 383.87/x
  3. Step 3: Cross multiply
    663.62x = 915.81 × 383.87
  4. Step 4: Simplify right side
    663.62x = 351,552.83
  5. Step 5: Solve for x
    x = 351,552.83/663.62
  6. Step 6: Final answer
    x = 529.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.