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Finding the Fourth Proportional to 711.45, 981.57 and 416.55

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Solution

The fourth proportional to 711.45, 981.57 and 416.55 is: 574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.45 : 981.57 = 416.55 : x
  2. Step 2: Convert to fraction form
    711.45/981.57 = 416.55/x
  3. Step 3: Cross multiply
    711.45x = 981.57 × 416.55
  4. Step 4: Simplify right side
    711.45x = 408,872.98
  5. Step 5: Solve for x
    x = 408,872.98/711.45
  6. Step 6: Final answer
    x = 574.70

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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.