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Finding the Fourth Proportional to 661.07, 912.37 and 381.25

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Solution

The fourth proportional to 661.07, 912.37 and 381.25 is: 526.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.07 : 912.37 = 381.25 : x
  2. Step 2: Convert to fraction form
    661.07/912.37 = 381.25/x
  3. Step 3: Cross multiply
    661.07x = 912.37 × 381.25
  4. Step 4: Simplify right side
    661.07x = 347,836.30
  5. Step 5: Solve for x
    x = 347,836.30/661.07
  6. Step 6: Final answer
    x = 526.17

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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.