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Finding the Fourth Proportional to 465.51, 642.20 and 288.42

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Solution

The fourth proportional to 465.51, 642.20 and 288.42 is: 397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.51 : 642.20 = 288.42 : x
  2. Step 2: Convert to fraction form
    465.51/642.20 = 288.42/x
  3. Step 3: Cross multiply
    465.51x = 642.20 × 288.42
  4. Step 4: Simplify right side
    465.51x = 185,225.37
  5. Step 5: Solve for x
    x = 185,225.37/465.51
  6. Step 6: Final answer
    x = 397.90

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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.