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Finding the Fourth Proportional to 571.23, 856.85 and 297.18

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Solution

The fourth proportional to 571.23, 856.85 and 297.18 is: 445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.23 : 856.85 = 297.18 : x
  2. Step 2: Convert to fraction form
    571.23/856.85 = 297.18/x
  3. Step 3: Cross multiply
    571.23x = 856.85 × 297.18
  4. Step 4: Simplify right side
    571.23x = 254,637.20
  5. Step 5: Solve for x
    x = 254,637.20/571.23
  6. Step 6: Final answer
    x = 445.77

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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.