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Finding the Fourth Proportional to 663.18, 914.76 and 414.42

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Solution

The fourth proportional to 663.18, 914.76 and 414.42 is: 571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.18 : 914.76 = 414.42 : x
  2. Step 2: Convert to fraction form
    663.18/914.76 = 414.42/x
  3. Step 3: Cross multiply
    663.18x = 914.76 × 414.42
  4. Step 4: Simplify right side
    663.18x = 379,094.84
  5. Step 5: Solve for x
    x = 379,094.84/663.18
  6. Step 6: Final answer
    x = 571.63

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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.