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Finding the Fourth Proportional to 711.47, 981.89 and 416.77

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Solution

The fourth proportional to 711.47, 981.89 and 416.77 is: 575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.47 : 981.89 = 416.77 : x
  2. Step 2: Convert to fraction form
    711.47/981.89 = 416.77/x
  3. Step 3: Cross multiply
    711.47x = 981.89 × 416.77
  4. Step 4: Simplify right side
    711.47x = 409,222.30
  5. Step 5: Solve for x
    x = 409,222.30/711.47
  6. Step 6: Final answer
    x = 575.18

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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.