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Finding the Fourth Proportional to 410.50, 614.46 and 288.40

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Solution

The fourth proportional to 410.50, 614.46 and 288.40 is: 431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.50 : 614.46 = 288.40 : x
  2. Step 2: Convert to fraction form
    410.50/614.46 = 288.40/x
  3. Step 3: Cross multiply
    410.50x = 614.46 × 288.40
  4. Step 4: Simplify right side
    410.50x = 177,210.26
  5. Step 5: Solve for x
    x = 177,210.26/410.50
  6. Step 6: Final answer
    x = 431.69

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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.