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Finding the Fourth Proportional to 872.64, 1,308.96 and 410.40

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Solution

The fourth proportional to 872.64, 1,308.96 and 410.40 is: 615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.64 : 1,308.96 = 410.40 : x
  2. Step 2: Convert to fraction form
    872.64/1,308.96 = 410.40/x
  3. Step 3: Cross multiply
    872.64x = 1,308.96 × 410.40
  4. Step 4: Simplify right side
    872.64x = 537,197.18
  5. Step 5: Solve for x
    x = 537,197.18/872.64
  6. Step 6: Final answer
    x = 615.60

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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.