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Finding the Fourth Proportional to 512.78, 707.74 and 402.75

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Solution

The fourth proportional to 512.78, 707.74 and 402.75 is: 555.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.78 : 707.74 = 402.75 : x
  2. Step 2: Convert to fraction form
    512.78/707.74 = 402.75/x
  3. Step 3: Cross multiply
    512.78x = 707.74 × 402.75
  4. Step 4: Simplify right side
    512.78x = 285,041.28
  5. Step 5: Solve for x
    x = 285,041.28/512.78
  6. Step 6: Final answer
    x = 555.88

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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.