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Finding the Fourth Proportional to 512.11, 707.02 and 372.08

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Solution

The fourth proportional to 512.11, 707.02 and 372.08 is: 513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.11 : 707.02 = 372.08 : x
  2. Step 2: Convert to fraction form
    512.11/707.02 = 372.08/x
  3. Step 3: Cross multiply
    512.11x = 707.02 × 372.08
  4. Step 4: Simplify right side
    512.11x = 263,068.84
  5. Step 5: Solve for x
    x = 263,068.84/512.11
  6. Step 6: Final answer
    x = 513.69

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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.