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Finding the Fourth Proportional to 716.08, 988.20 and 417.40

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Solution

The fourth proportional to 716.08, 988.20 and 417.40 is: 576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.08 : 988.20 = 417.40 : x
  2. Step 2: Convert to fraction form
    716.08/988.20 = 417.40/x
  3. Step 3: Cross multiply
    716.08x = 988.20 × 417.40
  4. Step 4: Simplify right side
    716.08x = 412,474.68
  5. Step 5: Solve for x
    x = 412,474.68/716.08
  6. Step 6: Final answer
    x = 576.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.