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Finding the Fourth Proportional to 409.20, 614.52 and 312

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Solution

The fourth proportional to 409.20, 614.52 and 312 is: 468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.20 : 614.52 = 312 : x
  2. Step 2: Convert to fraction form
    409.20/614.52 = 312/x
  3. Step 3: Cross multiply
    409.20x = 614.52 × 312
  4. Step 4: Simplify right side
    409.20x = 191,730.24
  5. Step 5: Solve for x
    x = 191,730.24/409.20
  6. Step 6: Final answer
    x = 468.55

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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.