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Finding the Fourth Proportional to 465.80, 643.01 and 342.41

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Solution

The fourth proportional to 465.80, 643.01 and 342.41 is: 472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.80 : 643.01 = 342.41 : x
  2. Step 2: Convert to fraction form
    465.80/643.01 = 342.41/x
  3. Step 3: Cross multiply
    465.80x = 643.01 × 342.41
  4. Step 4: Simplify right side
    465.80x = 220,168.13
  5. Step 5: Solve for x
    x = 220,168.13/465.80
  6. Step 6: Final answer
    x = 472.67

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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.