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Finding the Fourth Proportional to 489.24, 734.13 and 417.42

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Solution

The fourth proportional to 489.24, 734.13 and 417.42 is: 626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.24 : 734.13 = 417.42 : x
  2. Step 2: Convert to fraction form
    489.24/734.13 = 417.42/x
  3. Step 3: Cross multiply
    489.24x = 734.13 × 417.42
  4. Step 4: Simplify right side
    489.24x = 306,440.54
  5. Step 5: Solve for x
    x = 306,440.54/489.24
  6. Step 6: Final answer
    x = 626.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.