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Finding the Fourth Proportional to 697.09, 962.00 and 382.35

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Solution

The fourth proportional to 697.09, 962.00 and 382.35 is: 527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.09 : 962.00 = 382.35 : x
  2. Step 2: Convert to fraction form
    697.09/962.00 = 382.35/x
  3. Step 3: Cross multiply
    697.09x = 962.00 × 382.35
  4. Step 4: Simplify right side
    697.09x = 367,821.19
  5. Step 5: Solve for x
    x = 367,821.19/697.09
  6. Step 6: Final answer
    x = 527.65

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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.