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Finding the Fourth Proportional to 663.69, 915.84 and 380.13

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Solution

The fourth proportional to 663.69, 915.84 and 380.13 is: 524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.69 : 915.84 = 380.13 : x
  2. Step 2: Convert to fraction form
    663.69/915.84 = 380.13/x
  3. Step 3: Cross multiply
    663.69x = 915.84 × 380.13
  4. Step 4: Simplify right side
    663.69x = 348,138.26
  5. Step 5: Solve for x
    x = 348,138.26/663.69
  6. Step 6: Final answer
    x = 524.55

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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.