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Finding the Fourth Proportional to 697.86, 962.82 and 418.05

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Solution

The fourth proportional to 697.86, 962.82 and 418.05 is: 576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.86 : 962.82 = 418.05 : x
  2. Step 2: Convert to fraction form
    697.86/962.82 = 418.05/x
  3. Step 3: Cross multiply
    697.86x = 962.82 × 418.05
  4. Step 4: Simplify right side
    697.86x = 402,506.90
  5. Step 5: Solve for x
    x = 402,506.90/697.86
  6. Step 6: Final answer
    x = 576.77

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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.