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Finding the Fourth Proportional to 952.64, 1,428.36 and 405.20

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Solution

The fourth proportional to 952.64, 1,428.36 and 405.20 is: 607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.64 : 1,428.36 = 405.20 : x
  2. Step 2: Convert to fraction form
    952.64/1,428.36 = 405.20/x
  3. Step 3: Cross multiply
    952.64x = 1,428.36 × 405.20
  4. Step 4: Simplify right side
    952.64x = 578,771.47
  5. Step 5: Solve for x
    x = 578,771.47/952.64
  6. Step 6: Final answer
    x = 607.54

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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.