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Finding the Fourth Proportional to 577.16, 864.87 and 268.65

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Solution

The fourth proportional to 577.16, 864.87 and 268.65 is: 402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.16 : 864.87 = 268.65 : x
  2. Step 2: Convert to fraction form
    577.16/864.87 = 268.65/x
  3. Step 3: Cross multiply
    577.16x = 864.87 × 268.65
  4. Step 4: Simplify right side
    577.16x = 232,347.07
  5. Step 5: Solve for x
    x = 232,347.07/577.16
  6. Step 6: Final answer
    x = 402.57

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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.