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Finding the Fourth Proportional to 952.07, 1,428.09 and 374.95

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Solution

The fourth proportional to 952.07, 1,428.09 and 374.95 is: 562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.07 : 1,428.09 = 374.95 : x
  2. Step 2: Convert to fraction form
    952.07/1,428.09 = 374.95/x
  3. Step 3: Cross multiply
    952.07x = 1,428.09 × 374.95
  4. Step 4: Simplify right side
    952.07x = 535,455.21
  5. Step 5: Solve for x
    x = 535,455.21/952.07
  6. Step 6: Final answer
    x = 562.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.