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Finding the Fourth Proportional to 697.75, 962.91 and 383.02

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Solution

The fourth proportional to 697.75, 962.91 and 383.02 is: 528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.75 : 962.91 = 383.02 : x
  2. Step 2: Convert to fraction form
    697.75/962.91 = 383.02/x
  3. Step 3: Cross multiply
    697.75x = 962.91 × 383.02
  4. Step 4: Simplify right side
    697.75x = 368,811.38
  5. Step 5: Solve for x
    x = 368,811.38/697.75
  6. Step 6: Final answer
    x = 528.57

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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.