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Finding the Fourth Proportional to 342.72, 473.04 and 322.32

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Solution

The fourth proportional to 342.72, 473.04 and 322.32 is: 444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.72 : 473.04 = 322.32 : x
  2. Step 2: Convert to fraction form
    342.72/473.04 = 322.32/x
  3. Step 3: Cross multiply
    342.72x = 473.04 × 322.32
  4. Step 4: Simplify right side
    342.72x = 152,470.25
  5. Step 5: Solve for x
    x = 152,470.25/342.72
  6. Step 6: Final answer
    x = 444.88

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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.