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Finding the Fourth Proportional to 712.56, 983.16 and 417.84

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Solution

The fourth proportional to 712.56, 983.16 and 417.84 is: 576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.56 : 983.16 = 417.84 : x
  2. Step 2: Convert to fraction form
    712.56/983.16 = 417.84/x
  3. Step 3: Cross multiply
    712.56x = 983.16 × 417.84
  4. Step 4: Simplify right side
    712.56x = 410,803.57
  5. Step 5: Solve for x
    x = 410,803.57/712.56
  6. Step 6: Final answer
    x = 576.52

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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.