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Finding the Fourth Proportional to 410.75, 615.36 and 205.08

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Solution

The fourth proportional to 410.75, 615.36 and 205.08 is: 307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.75 : 615.36 = 205.08 : x
  2. Step 2: Convert to fraction form
    410.75/615.36 = 205.08/x
  3. Step 3: Cross multiply
    410.75x = 615.36 × 205.08
  4. Step 4: Simplify right side
    410.75x = 126,193.93
  5. Step 5: Solve for x
    x = 126,193.93/410.75
  6. Step 6: Final answer
    x = 307.23

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Double scale
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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.