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Finding the Fourth Proportional to 697.20, 962.40 and 435.28

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Solution

The fourth proportional to 697.20, 962.40 and 435.28 is: 600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.20 : 962.40 = 435.28 : x
  2. Step 2: Convert to fraction form
    697.20/962.40 = 435.28/x
  3. Step 3: Cross multiply
    697.20x = 962.40 × 435.28
  4. Step 4: Simplify right side
    697.20x = 418,913.47
  5. Step 5: Solve for x
    x = 418,913.47/697.20
  6. Step 6: Final answer
    x = 600.85

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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.