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Finding the Fourth Proportional to 411, 615.05 and 302.52

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Solution

The fourth proportional to 411, 615.05 and 302.52 is: 452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 615.05 = 302.52 : x
  2. Step 2: Convert to fraction form
    411/615.05 = 302.52/x
  3. Step 3: Cross multiply
    411x = 615.05 × 302.52
  4. Step 4: Simplify right side
    411x = 186,064.93
  5. Step 5: Solve for x
    x = 186,064.93/411
  6. Step 6: Final answer
    x = 452.71

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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.