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Finding the Fourth Proportional to 663.36, 915.44 and 414.54

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Solution

The fourth proportional to 663.36, 915.44 and 414.54 is: 572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.36 : 915.44 = 414.54 : x
  2. Step 2: Convert to fraction form
    663.36/915.44 = 414.54/x
  3. Step 3: Cross multiply
    663.36x = 915.44 × 414.54
  4. Step 4: Simplify right side
    663.36x = 379,486.50
  5. Step 5: Solve for x
    x = 379,486.50/663.36
  6. Step 6: Final answer
    x = 572.07

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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.