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Finding the Fourth Proportional to 663.34, 915.25 and 414.57

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Solution

The fourth proportional to 663.34, 915.25 and 414.57 is: 572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.34 : 915.25 = 414.57 : x
  2. Step 2: Convert to fraction form
    663.34/915.25 = 414.57/x
  3. Step 3: Cross multiply
    663.34x = 915.25 × 414.57
  4. Step 4: Simplify right side
    663.34x = 379,435.19
  5. Step 5: Solve for x
    x = 379,435.19/663.34
  6. Step 6: Final answer
    x = 572.01

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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.