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Finding the Fourth Proportional to 663.08, 914.76 and 414.23

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Solution

The fourth proportional to 663.08, 914.76 and 414.23 is: 571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.08 : 914.76 = 414.23 : x
  2. Step 2: Convert to fraction form
    663.08/914.76 = 414.23/x
  3. Step 3: Cross multiply
    663.08x = 914.76 × 414.23
  4. Step 4: Simplify right side
    663.08x = 378,916.46
  5. Step 5: Solve for x
    x = 378,916.46/663.08
  6. Step 6: Final answer
    x = 571.45

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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.