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Finding the Fourth Proportional to 341.98, 474.72 and 320.38

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Solution

The fourth proportional to 341.98, 474.72 and 320.38 is: 444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.98 : 474.72 = 320.38 : x
  2. Step 2: Convert to fraction form
    341.98/474.72 = 320.38/x
  3. Step 3: Cross multiply
    341.98x = 474.72 × 320.38
  4. Step 4: Simplify right side
    341.98x = 152,089.19
  5. Step 5: Solve for x
    x = 152,089.19/341.98
  6. Step 6: Final answer
    x = 444.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.