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Finding the Fourth Proportional to 577.65, 809.25 and 577.65

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Solution

The fourth proportional to 577.65, 809.25 and 577.65 is: 809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.65 : 809.25 = 577.65 : x
  2. Step 2: Convert to fraction form
    577.65/809.25 = 577.65/x
  3. Step 3: Cross multiply
    577.65x = 809.25 × 577.65
  4. Step 4: Simplify right side
    577.65x = 467,463.26
  5. Step 5: Solve for x
    x = 467,463.26/577.65
  6. Step 6: Final answer
    x = 809.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.