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Finding the Fourth Proportional to 511.30, 766.15 and 429.70

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Solution

The fourth proportional to 511.30, 766.15 and 429.70 is: 643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.30 : 766.15 = 429.70 : x
  2. Step 2: Convert to fraction form
    511.30/766.15 = 429.70/x
  3. Step 3: Cross multiply
    511.30x = 766.15 × 429.70
  4. Step 4: Simplify right side
    511.30x = 329,214.66
  5. Step 5: Solve for x
    x = 329,214.66/511.30
  6. Step 6: Final answer
    x = 643.88

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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.