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Finding the Fourth Proportional to 465.42, 642.36 and 269.06

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Solution

The fourth proportional to 465.42, 642.36 and 269.06 is: 371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.42 : 642.36 = 269.06 : x
  2. Step 2: Convert to fraction form
    465.42/642.36 = 269.06/x
  3. Step 3: Cross multiply
    465.42x = 642.36 × 269.06
  4. Step 4: Simplify right side
    465.42x = 172,831.18
  5. Step 5: Solve for x
    x = 172,831.18/465.42
  6. Step 6: Final answer
    x = 371.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.