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Finding the Fourth Proportional to 952.12, 1,428.40 and 404.32

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Solution

The fourth proportional to 952.12, 1,428.40 and 404.32 is: 606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.12 : 1,428.40 = 404.32 : x
  2. Step 2: Convert to fraction form
    952.12/1,428.40 = 404.32/x
  3. Step 3: Cross multiply
    952.12x = 1,428.40 × 404.32
  4. Step 4: Simplify right side
    952.12x = 577,530.69
  5. Step 5: Solve for x
    x = 577,530.69/952.12
  6. Step 6: Final answer
    x = 606.57

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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.