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Finding the Fourth Proportional to 410.09, 615.81 and 288.32

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Solution

The fourth proportional to 410.09, 615.81 and 288.32 is: 432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.09 : 615.81 = 288.32 : x
  2. Step 2: Convert to fraction form
    410.09/615.81 = 288.32/x
  3. Step 3: Cross multiply
    410.09x = 615.81 × 288.32
  4. Step 4: Simplify right side
    410.09x = 177,550.34
  5. Step 5: Solve for x
    x = 177,550.34/410.09
  6. Step 6: Final answer
    x = 432.95

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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.