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Finding the Fourth Proportional to 465.87, 642.77 and 288.98

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Solution

The fourth proportional to 465.87, 642.77 and 288.98 is: 398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.87 : 642.77 = 288.98 : x
  2. Step 2: Convert to fraction form
    465.87/642.77 = 288.98/x
  3. Step 3: Cross multiply
    465.87x = 642.77 × 288.98
  4. Step 4: Simplify right side
    465.87x = 185,750.13
  5. Step 5: Solve for x
    x = 185,750.13/465.87
  6. Step 6: Final answer
    x = 398.72

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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.