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Finding the Fourth Proportional to 512.37, 707.00 and 291.29

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Solution

The fourth proportional to 512.37, 707.00 and 291.29 is: 401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.37 : 707.00 = 291.29 : x
  2. Step 2: Convert to fraction form
    512.37/707.00 = 291.29/x
  3. Step 3: Cross multiply
    512.37x = 707.00 × 291.29
  4. Step 4: Simplify right side
    512.37x = 205,937.04
  5. Step 5: Solve for x
    x = 205,937.04/512.37
  6. Step 6: Final answer
    x = 401.93

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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.