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Finding the Fourth Proportional to 577.80, 865.80 and 500.40

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Solution

The fourth proportional to 577.80, 865.80 and 500.40 is: 749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.80 : 865.80 = 500.40 : x
  2. Step 2: Convert to fraction form
    577.80/865.80 = 500.40/x
  3. Step 3: Cross multiply
    577.80x = 865.80 × 500.40
  4. Step 4: Simplify right side
    577.80x = 433,246.32
  5. Step 5: Solve for x
    x = 433,246.32/577.80
  6. Step 6: Final answer
    x = 749.82

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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.