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Finding the Fourth Proportional to 663.02, 914.99 and 414.15

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Solution

The fourth proportional to 663.02, 914.99 and 414.15 is: 571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.02 : 914.99 = 414.15 : x
  2. Step 2: Convert to fraction form
    663.02/914.99 = 414.15/x
  3. Step 3: Cross multiply
    663.02x = 914.99 × 414.15
  4. Step 4: Simplify right side
    663.02x = 378,943.11
  5. Step 5: Solve for x
    x = 378,943.11/663.02
  6. Step 6: Final answer
    x = 571.54

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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.