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Finding the Fourth Proportional to 512.19, 706.19 and 424.04

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Solution

The fourth proportional to 512.19, 706.19 and 424.04 is: 584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 706.19 = 424.04 : x
  2. Step 2: Convert to fraction form
    512.19/706.19 = 424.04/x
  3. Step 3: Cross multiply
    512.19x = 706.19 × 424.04
  4. Step 4: Simplify right side
    512.19x = 299,447.16
  5. Step 5: Solve for x
    x = 299,447.16/512.19
  6. Step 6: Final answer
    x = 584.64

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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.