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Finding the Fourth Proportional to 512.48, 767.70 and 306.47

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Solution

The fourth proportional to 512.48, 767.70 and 306.47 is: 459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.48 : 767.70 = 306.47 : x
  2. Step 2: Convert to fraction form
    512.48/767.70 = 306.47/x
  3. Step 3: Cross multiply
    512.48x = 767.70 × 306.47
  4. Step 4: Simplify right side
    512.48x = 235,277.02
  5. Step 5: Solve for x
    x = 235,277.02/512.48
  6. Step 6: Final answer
    x = 459.10

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Why These Related Problems?

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