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Finding the Fourth Proportional to 512.10, 706.83 and 429.08

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Solution

The fourth proportional to 512.10, 706.83 and 429.08 is: 592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.10 : 706.83 = 429.08 : x
  2. Step 2: Convert to fraction form
    512.10/706.83 = 429.08/x
  3. Step 3: Cross multiply
    512.10x = 706.83 × 429.08
  4. Step 4: Simplify right side
    512.10x = 303,283.08
  5. Step 5: Solve for x
    x = 303,283.08/512.10
  6. Step 6: Final answer
    x = 592.23

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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.