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Finding the Fourth Proportional to 712.50, 983.10 and 417.79

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Solution

The fourth proportional to 712.50, 983.10 and 417.79 is: 576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.50 : 983.10 = 417.79 : x
  2. Step 2: Convert to fraction form
    712.50/983.10 = 417.79/x
  3. Step 3: Cross multiply
    712.50x = 983.10 × 417.79
  4. Step 4: Simplify right side
    712.50x = 410,729.35
  5. Step 5: Solve for x
    x = 410,729.35/712.50
  6. Step 6: Final answer
    x = 576.46

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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.