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Finding the Fourth Proportional to 614.20, 919.92 and 288.88

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Solution

The fourth proportional to 614.20, 919.92 and 288.88 is: 432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.20 : 919.92 = 288.88 : x
  2. Step 2: Convert to fraction form
    614.20/919.92 = 288.88/x
  3. Step 3: Cross multiply
    614.20x = 919.92 × 288.88
  4. Step 4: Simplify right side
    614.20x = 265,746.49
  5. Step 5: Solve for x
    x = 265,746.49/614.20
  6. Step 6: Final answer
    x = 432.67

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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.