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Finding the Fourth Proportional to 489.64, 734.26 and 412.24

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Solution

The fourth proportional to 489.64, 734.26 and 412.24 is: 618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.64 : 734.26 = 412.24 : x
  2. Step 2: Convert to fraction form
    489.64/734.26 = 412.24/x
  3. Step 3: Cross multiply
    489.64x = 734.26 × 412.24
  4. Step 4: Simplify right side
    489.64x = 302,691.34
  5. Step 5: Solve for x
    x = 302,691.34/489.64
  6. Step 6: Final answer
    x = 618.19

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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.