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Finding the Fourth Proportional to 312.84, 469.29 and 308.16

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Solution

The fourth proportional to 312.84, 469.29 and 308.16 is: 462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 469.29 = 308.16 : x
  2. Step 2: Convert to fraction form
    312.84/469.29 = 308.16/x
  3. Step 3: Cross multiply
    312.84x = 469.29 × 308.16
  4. Step 4: Simplify right side
    312.84x = 144,616.41
  5. Step 5: Solve for x
    x = 144,616.41/312.84
  6. Step 6: Final answer
    x = 462.27

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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.