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Finding the Fourth Proportional to 511.30, 765.12 and 409.24

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Solution

The fourth proportional to 511.30, 765.12 and 409.24 is: 612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.30 : 765.12 = 409.24 : x
  2. Step 2: Convert to fraction form
    511.30/765.12 = 409.24/x
  3. Step 3: Cross multiply
    511.30x = 765.12 × 409.24
  4. Step 4: Simplify right side
    511.30x = 313,117.71
  5. Step 5: Solve for x
    x = 313,117.71/511.30
  6. Step 6: Final answer
    x = 612.40

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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.