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Finding the Fourth Proportional to 512.66, 706.92 and 438.68

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Solution

The fourth proportional to 512.66, 706.92 and 438.68 is: 604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.66 : 706.92 = 438.68 : x
  2. Step 2: Convert to fraction form
    512.66/706.92 = 438.68/x
  3. Step 3: Cross multiply
    512.66x = 706.92 × 438.68
  4. Step 4: Simplify right side
    512.66x = 310,111.67
  5. Step 5: Solve for x
    x = 310,111.67/512.66
  6. Step 6: Final answer
    x = 604.91

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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.