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Finding the Fourth Proportional to 856.02, 1,284.24 and 271.08

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Solution

The fourth proportional to 856.02, 1,284.24 and 271.08 is: 406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.02 : 1,284.24 = 271.08 : x
  2. Step 2: Convert to fraction form
    856.02/1,284.24 = 271.08/x
  3. Step 3: Cross multiply
    856.02x = 1,284.24 × 271.08
  4. Step 4: Simplify right side
    856.02x = 348,130.42
  5. Step 5: Solve for x
    x = 348,130.42/856.02
  6. Step 6: Final answer
    x = 406.68

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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.