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Finding the Fourth Proportional to 663.41, 915.46 and 368.69

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Solution

The fourth proportional to 663.41, 915.46 and 368.69 is: 508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.41 : 915.46 = 368.69 : x
  2. Step 2: Convert to fraction form
    663.41/915.46 = 368.69/x
  3. Step 3: Cross multiply
    663.41x = 915.46 × 368.69
  4. Step 4: Simplify right side
    663.41x = 337,515.45
  5. Step 5: Solve for x
    x = 337,515.45/663.41
  6. Step 6: Final answer
    x = 508.76

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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.