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Finding the Fourth Proportional to 697.49, 962.57 and 386.99

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Solution

The fourth proportional to 697.49, 962.57 and 386.99 is: 534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.49 : 962.57 = 386.99 : x
  2. Step 2: Convert to fraction form
    697.49/962.57 = 386.99/x
  3. Step 3: Cross multiply
    697.49x = 962.57 × 386.99
  4. Step 4: Simplify right side
    697.49x = 372,501.12
  5. Step 5: Solve for x
    x = 372,501.12/697.49
  6. Step 6: Final answer
    x = 534.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.