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Finding the Fourth Proportional to 938.84, 1,407.89 and 322.38

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Solution

The fourth proportional to 938.84, 1,407.89 and 322.38 is: 483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.84 : 1,407.89 = 322.38 : x
  2. Step 2: Convert to fraction form
    938.84/1,407.89 = 322.38/x
  3. Step 3: Cross multiply
    938.84x = 1,407.89 × 322.38
  4. Step 4: Simplify right side
    938.84x = 453,876.38
  5. Step 5: Solve for x
    x = 453,876.38/938.84
  6. Step 6: Final answer
    x = 483.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.