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Finding the Fourth Proportional to 663.37, 915.46 and 368.63

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Solution

The fourth proportional to 663.37, 915.46 and 368.63 is: 508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.37 : 915.46 = 368.63 : x
  2. Step 2: Convert to fraction form
    663.37/915.46 = 368.63/x
  3. Step 3: Cross multiply
    663.37x = 915.46 × 368.63
  4. Step 4: Simplify right side
    663.37x = 337,460.52
  5. Step 5: Solve for x
    x = 337,460.52/663.37
  6. Step 6: Final answer
    x = 508.71

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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.