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Finding the Fourth Proportional to 698.01, 962.59 and 418.20

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Solution

The fourth proportional to 698.01, 962.59 and 418.20 is: 576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.01 : 962.59 = 418.20 : x
  2. Step 2: Convert to fraction form
    698.01/962.59 = 418.20/x
  3. Step 3: Cross multiply
    698.01x = 962.59 × 418.20
  4. Step 4: Simplify right side
    698.01x = 402,555.14
  5. Step 5: Solve for x
    x = 402,555.14/698.01
  6. Step 6: Final answer
    x = 576.72

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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.