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Finding the Fourth Proportional to 663.25, 915.22 and 383.46

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Solution

The fourth proportional to 663.25, 915.22 and 383.46 is: 529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.25 : 915.22 = 383.46 : x
  2. Step 2: Convert to fraction form
    663.25/915.22 = 383.46/x
  3. Step 3: Cross multiply
    663.25x = 915.22 × 383.46
  4. Step 4: Simplify right side
    663.25x = 350,948.34
  5. Step 5: Solve for x
    x = 350,948.34/663.25
  6. Step 6: Final answer
    x = 529.13

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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.