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Finding the Fourth Proportional to 511.32, 766.56 and 295.08

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Solution

The fourth proportional to 511.32, 766.56 and 295.08 is: 442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.32 : 766.56 = 295.08 : x
  2. Step 2: Convert to fraction form
    511.32/766.56 = 295.08/x
  3. Step 3: Cross multiply
    511.32x = 766.56 × 295.08
  4. Step 4: Simplify right side
    511.32x = 226,196.52
  5. Step 5: Solve for x
    x = 226,196.52/511.32
  6. Step 6: Final answer
    x = 442.38

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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.