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Finding the Fourth Proportional to 697.11, 962.05 and 449.02

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Solution

The fourth proportional to 697.11, 962.05 and 449.02 is: 619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.11 : 962.05 = 449.02 : x
  2. Step 2: Convert to fraction form
    697.11/962.05 = 449.02/x
  3. Step 3: Cross multiply
    697.11x = 962.05 × 449.02
  4. Step 4: Simplify right side
    697.11x = 431,979.17
  5. Step 5: Solve for x
    x = 431,979.17/697.11
  6. Step 6: Final answer
    x = 619.67

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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.