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Finding the Fourth Proportional to 512.33, 707.74 and 403.18

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Solution

The fourth proportional to 512.33, 707.74 and 403.18 is: 556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.33 : 707.74 = 403.18 : x
  2. Step 2: Convert to fraction form
    512.33/707.74 = 403.18/x
  3. Step 3: Cross multiply
    512.33x = 707.74 × 403.18
  4. Step 4: Simplify right side
    512.33x = 285,343.84
  5. Step 5: Solve for x
    x = 285,343.84/512.33
  6. Step 6: Final answer
    x = 556.96

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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.