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Finding the Fourth Proportional to 465.80, 642.48 and 407.48

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Solution

The fourth proportional to 465.80, 642.48 and 407.48 is: 562.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.80 : 642.48 = 407.48 : x
  2. Step 2: Convert to fraction form
    465.80/642.48 = 407.48/x
  3. Step 3: Cross multiply
    465.80x = 642.48 × 407.48
  4. Step 4: Simplify right side
    465.80x = 261,797.75
  5. Step 5: Solve for x
    x = 261,797.75/465.80
  6. Step 6: Final answer
    x = 562.04

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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.