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Finding the Fourth Proportional to 407.84, 562.33 and 309.42

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Solution

The fourth proportional to 407.84, 562.33 and 309.42 is: 426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.84 : 562.33 = 309.42 : x
  2. Step 2: Convert to fraction form
    407.84/562.33 = 309.42/x
  3. Step 3: Cross multiply
    407.84x = 562.33 × 309.42
  4. Step 4: Simplify right side
    407.84x = 173,995.38
  5. Step 5: Solve for x
    x = 173,995.38/407.84
  6. Step 6: Final answer
    x = 426.63

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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.