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Finding the Fourth Proportional to 570.44, 856.22 and 314.12

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Solution

The fourth proportional to 570.44, 856.22 and 314.12 is: 471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.44 : 856.22 = 314.12 : x
  2. Step 2: Convert to fraction form
    570.44/856.22 = 314.12/x
  3. Step 3: Cross multiply
    570.44x = 856.22 × 314.12
  4. Step 4: Simplify right side
    570.44x = 268,955.83
  5. Step 5: Solve for x
    x = 268,955.83/570.44
  6. Step 6: Final answer
    x = 471.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.