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Finding the Fourth Proportional to 663.84, 915.98 and 442.40

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Solution

The fourth proportional to 663.84, 915.98 and 442.40 is: 610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 915.98 = 442.40 : x
  2. Step 2: Convert to fraction form
    663.84/915.98 = 442.40/x
  3. Step 3: Cross multiply
    663.84x = 915.98 × 442.40
  4. Step 4: Simplify right side
    663.84x = 405,222.76
  5. Step 5: Solve for x
    x = 405,222.76/663.84
  6. Step 6: Final answer
    x = 610.42

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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.