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Finding the Fourth Proportional to 697.76, 962.89 and 383.01

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Solution

The fourth proportional to 697.76, 962.89 and 383.01 is: 528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.76 : 962.89 = 383.01 : x
  2. Step 2: Convert to fraction form
    697.76/962.89 = 383.01/x
  3. Step 3: Cross multiply
    697.76x = 962.89 × 383.01
  4. Step 4: Simplify right side
    697.76x = 368,797.35
  5. Step 5: Solve for x
    x = 368,797.35/697.76
  6. Step 6: Final answer
    x = 528.54

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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.