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Finding the Fourth Proportional to 697.68, 962.61 and 403.02

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Solution

The fourth proportional to 697.68, 962.61 and 403.02 is: 556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.68 : 962.61 = 403.02 : x
  2. Step 2: Convert to fraction form
    697.68/962.61 = 403.02/x
  3. Step 3: Cross multiply
    697.68x = 962.61 × 403.02
  4. Step 4: Simplify right side
    697.68x = 387,951.08
  5. Step 5: Solve for x
    x = 387,951.08/697.68
  6. Step 6: Final answer
    x = 556.06

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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.