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Finding the Fourth Proportional to 663.27, 915.77 and 414.63

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Solution

The fourth proportional to 663.27, 915.77 and 414.63 is: 572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.27 : 915.77 = 414.63 : x
  2. Step 2: Convert to fraction form
    663.27/915.77 = 414.63/x
  3. Step 3: Cross multiply
    663.27x = 915.77 × 414.63
  4. Step 4: Simplify right side
    663.27x = 379,703.64
  5. Step 5: Solve for x
    x = 379,703.64/663.27
  6. Step 6: Final answer
    x = 572.47

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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.