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Finding the Fourth Proportional to 398.70, 549.27 and 320.94

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Solution

The fourth proportional to 398.70, 549.27 and 320.94 is: 442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.70 : 549.27 = 320.94 : x
  2. Step 2: Convert to fraction form
    398.70/549.27 = 320.94/x
  3. Step 3: Cross multiply
    398.70x = 549.27 × 320.94
  4. Step 4: Simplify right side
    398.70x = 176,282.71
  5. Step 5: Solve for x
    x = 176,282.71/398.70
  6. Step 6: Final answer
    x = 442.14

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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.