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Finding the Fourth Proportional to 708.42, 976.64 and 498.22

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Solution

The fourth proportional to 708.42, 976.64 and 498.22 is: 686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.42 : 976.64 = 498.22 : x
  2. Step 2: Convert to fraction form
    708.42/976.64 = 498.22/x
  3. Step 3: Cross multiply
    708.42x = 976.64 × 498.22
  4. Step 4: Simplify right side
    708.42x = 486,581.58
  5. Step 5: Solve for x
    x = 486,581.58/708.42
  6. Step 6: Final answer
    x = 686.85

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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.