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Finding the Fourth Proportional to 872.23, 1,307.96 and 410.14

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Solution

The fourth proportional to 872.23, 1,307.96 and 410.14 is: 615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.23 : 1,307.96 = 410.14 : x
  2. Step 2: Convert to fraction form
    872.23/1,307.96 = 410.14/x
  3. Step 3: Cross multiply
    872.23x = 1,307.96 × 410.14
  4. Step 4: Simplify right side
    872.23x = 536,441.39
  5. Step 5: Solve for x
    x = 536,441.39/872.23
  6. Step 6: Final answer
    x = 615.02

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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.