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Finding the Fourth Proportional to 407.84, 562.44 and 306.50

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Solution

The fourth proportional to 407.84, 562.44 and 306.50 is: 422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.84 : 562.44 = 306.50 : x
  2. Step 2: Convert to fraction form
    407.84/562.44 = 306.50/x
  3. Step 3: Cross multiply
    407.84x = 562.44 × 306.50
  4. Step 4: Simplify right side
    407.84x = 172,385.05
  5. Step 5: Solve for x
    x = 172,385.05/407.84
  6. Step 6: Final answer
    x = 422.68

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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.