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Finding the Fourth Proportional to 309.74, 465.15 and 284.42

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Solution

The fourth proportional to 309.74, 465.15 and 284.42 is: 427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.74 : 465.15 = 284.42 : x
  2. Step 2: Convert to fraction form
    309.74/465.15 = 284.42/x
  3. Step 3: Cross multiply
    309.74x = 465.15 × 284.42
  4. Step 4: Simplify right side
    309.74x = 132,297.96
  5. Step 5: Solve for x
    x = 132,297.96/309.74
  6. Step 6: Final answer
    x = 427.13

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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.