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Finding the Fourth Proportional to 577.42, 865.86 and 269.08

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Solution

The fourth proportional to 577.42, 865.86 and 269.08 is: 403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.42 : 865.86 = 269.08 : x
  2. Step 2: Convert to fraction form
    577.42/865.86 = 269.08/x
  3. Step 3: Cross multiply
    577.42x = 865.86 × 269.08
  4. Step 4: Simplify right side
    577.42x = 232,985.61
  5. Step 5: Solve for x
    x = 232,985.61/577.42
  6. Step 6: Final answer
    x = 403.49

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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.