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Finding the Fourth Proportional to 410.07, 615.31 and 204.67

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Solution

The fourth proportional to 410.07, 615.31 and 204.67 is: 307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.07 : 615.31 = 204.67 : x
  2. Step 2: Convert to fraction form
    410.07/615.31 = 204.67/x
  3. Step 3: Cross multiply
    410.07x = 615.31 × 204.67
  4. Step 4: Simplify right side
    410.07x = 125,935.76
  5. Step 5: Solve for x
    x = 125,935.76/410.07
  6. Step 6: Final answer
    x = 307.11

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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.