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Finding the Fourth Proportional to 312.12, 467.10 and 275.40

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Solution

The fourth proportional to 312.12, 467.10 and 275.40 is: 412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.12 : 467.10 = 275.40 : x
  2. Step 2: Convert to fraction form
    312.12/467.10 = 275.40/x
  3. Step 3: Cross multiply
    312.12x = 467.10 × 275.40
  4. Step 4: Simplify right side
    312.12x = 128,639.34
  5. Step 5: Solve for x
    x = 128,639.34/312.12
  6. Step 6: Final answer
    x = 412.15

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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.