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Finding the Fourth Proportional to 712.60, 983.45 and 417.96

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Solution

The fourth proportional to 712.60, 983.45 and 417.96 is: 576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.60 : 983.45 = 417.96 : x
  2. Step 2: Convert to fraction form
    712.60/983.45 = 417.96/x
  3. Step 3: Cross multiply
    712.60x = 983.45 × 417.96
  4. Step 4: Simplify right side
    712.60x = 411,043.81
  5. Step 5: Solve for x
    x = 411,043.81/712.60
  6. Step 6: Final answer
    x = 576.82

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