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Finding the Fourth Proportional to 512.27, 707.00 and 291.35

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Solution

The fourth proportional to 512.27, 707.00 and 291.35 is: 402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.27 : 707.00 = 291.35 : x
  2. Step 2: Convert to fraction form
    512.27/707.00 = 291.35/x
  3. Step 3: Cross multiply
    512.27x = 707.00 × 291.35
  4. Step 4: Simplify right side
    512.27x = 205,983.24
  5. Step 5: Solve for x
    x = 205,983.24/512.27
  6. Step 6: Final answer
    x = 402.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.