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Finding the Fourth Proportional to 324, 484.65 and 269.19

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Solution

The fourth proportional to 324, 484.65 and 269.19 is: 402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324 : 484.65 = 269.19 : x
  2. Step 2: Convert to fraction form
    324/484.65 = 269.19/x
  3. Step 3: Cross multiply
    324x = 484.65 × 269.19
  4. Step 4: Simplify right side
    324x = 130,462.93
  5. Step 5: Solve for x
    x = 130,462.93/324
  6. Step 6: Final answer
    x = 402.66

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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.