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Finding the Fourth Proportional to 711.48, 981.86 and 416.85

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Solution

The fourth proportional to 711.48, 981.86 and 416.85 is: 575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.48 : 981.86 = 416.85 : x
  2. Step 2: Convert to fraction form
    711.48/981.86 = 416.85/x
  3. Step 3: Cross multiply
    711.48x = 981.86 × 416.85
  4. Step 4: Simplify right side
    711.48x = 409,282.57
  5. Step 5: Solve for x
    x = 409,282.57/711.48
  6. Step 6: Final answer
    x = 575.25

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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.