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Finding the Fourth Proportional to 571.16, 857.02 and 278.32

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Solution

The fourth proportional to 571.16, 857.02 and 278.32 is: 417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.16 : 857.02 = 278.32 : x
  2. Step 2: Convert to fraction form
    571.16/857.02 = 278.32/x
  3. Step 3: Cross multiply
    571.16x = 857.02 × 278.32
  4. Step 4: Simplify right side
    571.16x = 238,525.81
  5. Step 5: Solve for x
    x = 238,525.81/571.16
  6. Step 6: Final answer
    x = 417.62

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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.