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Finding the Fourth Proportional to 512.53, 707.27 and 429.44

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Solution

The fourth proportional to 512.53, 707.27 and 429.44 is: 592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.53 : 707.27 = 429.44 : x
  2. Step 2: Convert to fraction form
    512.53/707.27 = 429.44/x
  3. Step 3: Cross multiply
    512.53x = 707.27 × 429.44
  4. Step 4: Simplify right side
    512.53x = 303,724.35
  5. Step 5: Solve for x
    x = 303,724.35/512.53
  6. Step 6: Final answer
    x = 592.60

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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.