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Finding the Fourth Proportional to 512.32, 767.70 and 307.12

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Solution

The fourth proportional to 512.32, 767.70 and 307.12 is: 460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.32 : 767.70 = 307.12 : x
  2. Step 2: Convert to fraction form
    512.32/767.70 = 307.12/x
  3. Step 3: Cross multiply
    512.32x = 767.70 × 307.12
  4. Step 4: Simplify right side
    512.32x = 235,776.02
  5. Step 5: Solve for x
    x = 235,776.02/512.32
  6. Step 6: Final answer
    x = 460.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.