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Finding the Fourth Proportional to 711.40, 981.86 and 416.68

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Solution

The fourth proportional to 711.40, 981.86 and 416.68 is: 575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.40 : 981.86 = 416.68 : x
  2. Step 2: Convert to fraction form
    711.40/981.86 = 416.68/x
  3. Step 3: Cross multiply
    711.40x = 981.86 × 416.68
  4. Step 4: Simplify right side
    711.40x = 409,121.42
  5. Step 5: Solve for x
    x = 409,121.42/711.40
  6. Step 6: Final answer
    x = 575.09

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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.