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Finding the Fourth Proportional to 571.01, 856.13 and 278.51

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Solution

The fourth proportional to 571.01, 856.13 and 278.51 is: 417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.01 : 856.13 = 278.51 : x
  2. Step 2: Convert to fraction form
    571.01/856.13 = 278.51/x
  3. Step 3: Cross multiply
    571.01x = 856.13 × 278.51
  4. Step 4: Simplify right side
    571.01x = 238,435.09
  5. Step 5: Solve for x
    x = 238,435.09/571.01
  6. Step 6: Final answer
    x = 417.57

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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.