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Finding the Fourth Proportional to 697.59, 962.73 and 402.84

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Solution

The fourth proportional to 697.59, 962.73 and 402.84 is: 555.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.59 : 962.73 = 402.84 : x
  2. Step 2: Convert to fraction form
    697.59/962.73 = 402.84/x
  3. Step 3: Cross multiply
    697.59x = 962.73 × 402.84
  4. Step 4: Simplify right side
    697.59x = 387,826.15
  5. Step 5: Solve for x
    x = 387,826.15/697.59
  6. Step 6: Final answer
    x = 555.95

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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.