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Finding the Fourth Proportional to 342.24, 473.49 and 328.74

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Solution

The fourth proportional to 342.24, 473.49 and 328.74 is: 454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 473.49 = 328.74 : x
  2. Step 2: Convert to fraction form
    342.24/473.49 = 328.74/x
  3. Step 3: Cross multiply
    342.24x = 473.49 × 328.74
  4. Step 4: Simplify right side
    342.24x = 155,655.10
  5. Step 5: Solve for x
    x = 155,655.10/342.24
  6. Step 6: Final answer
    x = 454.81

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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.