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Finding the Fourth Proportional to 697.71, 962.57 and 449.00

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Solution

The fourth proportional to 697.71, 962.57 and 449.00 is: 619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.71 : 962.57 = 449.00 : x
  2. Step 2: Convert to fraction form
    697.71/962.57 = 449.00/x
  3. Step 3: Cross multiply
    697.71x = 962.57 × 449.00
  4. Step 4: Simplify right side
    697.71x = 432,186.87
  5. Step 5: Solve for x
    x = 432,186.87/697.71
  6. Step 6: Final answer
    x = 619.44

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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.