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Finding the Fourth Proportional to 577.50, 867.69 and 456.54

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Solution

The fourth proportional to 577.50, 867.69 and 456.54 is: 685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.50 : 867.69 = 456.54 : x
  2. Step 2: Convert to fraction form
    577.50/867.69 = 456.54/x
  3. Step 3: Cross multiply
    577.50x = 867.69 × 456.54
  4. Step 4: Simplify right side
    577.50x = 396,135.19
  5. Step 5: Solve for x
    x = 396,135.19/577.50
  6. Step 6: Final answer
    x = 685.95

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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.