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Finding the Fourth Proportional to 465.80, 643.08 and 341.68

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Solution

The fourth proportional to 465.80, 643.08 and 341.68 is: 471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.80 : 643.08 = 341.68 : x
  2. Step 2: Convert to fraction form
    465.80/643.08 = 341.68/x
  3. Step 3: Cross multiply
    465.80x = 643.08 × 341.68
  4. Step 4: Simplify right side
    465.80x = 219,727.57
  5. Step 5: Solve for x
    x = 219,727.57/465.80
  6. Step 6: Final answer
    x = 471.72

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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.