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Finding the Fourth Proportional to 312.36, 469.14 and 261.30

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Solution

The fourth proportional to 312.36, 469.14 and 261.30 is: 392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.36 : 469.14 = 261.30 : x
  2. Step 2: Convert to fraction form
    312.36/469.14 = 261.30/x
  3. Step 3: Cross multiply
    312.36x = 469.14 × 261.30
  4. Step 4: Simplify right side
    312.36x = 122,586.28
  5. Step 5: Solve for x
    x = 122,586.28/312.36
  6. Step 6: Final answer
    x = 392.45

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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.