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Finding the Fourth Proportional to 512.58, 707.42 and 291.59

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Solution

The fourth proportional to 512.58, 707.42 and 291.59 is: 402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 707.42 = 291.59 : x
  2. Step 2: Convert to fraction form
    512.58/707.42 = 291.59/x
  3. Step 3: Cross multiply
    512.58x = 707.42 × 291.59
  4. Step 4: Simplify right side
    512.58x = 206,271.60
  5. Step 5: Solve for x
    x = 206,271.60/512.58
  6. Step 6: Final answer
    x = 402.42

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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.