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Finding the Fourth Proportional to 663.40, 914.88 and 414.64

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Solution

The fourth proportional to 663.40, 914.88 and 414.64 is: 571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.40 : 914.88 = 414.64 : x
  2. Step 2: Convert to fraction form
    663.40/914.88 = 414.64/x
  3. Step 3: Cross multiply
    663.40x = 914.88 × 414.64
  4. Step 4: Simplify right side
    663.40x = 379,345.84
  5. Step 5: Solve for x
    x = 379,345.84/663.40
  6. Step 6: Final answer
    x = 571.82

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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.