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Finding the Fourth Proportional to 309.08, 463.32 and 282.35

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Solution

The fourth proportional to 309.08, 463.32 and 282.35 is: 423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.08 : 463.32 = 282.35 : x
  2. Step 2: Convert to fraction form
    309.08/463.32 = 282.35/x
  3. Step 3: Cross multiply
    309.08x = 463.32 × 282.35
  4. Step 4: Simplify right side
    309.08x = 130,819.56
  5. Step 5: Solve for x
    x = 130,819.56/309.08
  6. Step 6: Final answer
    x = 423.25

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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.