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Finding the Fourth Proportional to 663.35, 915.70 and 447.80

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Solution

The fourth proportional to 663.35, 915.70 and 447.80 is: 618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.35 : 915.70 = 447.80 : x
  2. Step 2: Convert to fraction form
    663.35/915.70 = 447.80/x
  3. Step 3: Cross multiply
    663.35x = 915.70 × 447.80
  4. Step 4: Simplify right side
    663.35x = 410,054.42
  5. Step 5: Solve for x
    x = 410,054.42/663.35
  6. Step 6: Final answer
    x = 618.16

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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.