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Finding the Fourth Proportional to 711.52, 981.99 and 416.81

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Solution

The fourth proportional to 711.52, 981.99 and 416.81 is: 575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.52 : 981.99 = 416.81 : x
  2. Step 2: Convert to fraction form
    711.52/981.99 = 416.81/x
  3. Step 3: Cross multiply
    711.52x = 981.99 × 416.81
  4. Step 4: Simplify right side
    711.52x = 409,305.71
  5. Step 5: Solve for x
    x = 409,305.71/711.52
  6. Step 6: Final answer
    x = 575.26

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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.