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Finding the Fourth Proportional to 697.95, 963.19 and 418.10

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Solution

The fourth proportional to 697.95, 963.19 and 418.10 is: 576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.95 : 963.19 = 418.10 : x
  2. Step 2: Convert to fraction form
    697.95/963.19 = 418.10/x
  3. Step 3: Cross multiply
    697.95x = 963.19 × 418.10
  4. Step 4: Simplify right side
    697.95x = 402,705.45
  5. Step 5: Solve for x
    x = 402,705.45/697.95
  6. Step 6: Final answer
    x = 576.98

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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.