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Finding the Fourth Proportional to 872.17, 1,308.56 and 352.00

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Solution

The fourth proportional to 872.17, 1,308.56 and 352.00 is: 528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.17 : 1,308.56 = 352.00 : x
  2. Step 2: Convert to fraction form
    872.17/1,308.56 = 352.00/x
  3. Step 3: Cross multiply
    872.17x = 1,308.56 × 352.00
  4. Step 4: Simplify right side
    872.17x = 460,605.64
  5. Step 5: Solve for x
    x = 460,605.64/872.17
  6. Step 6: Final answer
    x = 528.12

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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.