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Finding the Fourth Proportional to 570.75, 856.25 and 228.75

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Solution

The fourth proportional to 570.75, 856.25 and 228.75 is: 343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.75 : 856.25 = 228.75 : x
  2. Step 2: Convert to fraction form
    570.75/856.25 = 228.75/x
  3. Step 3: Cross multiply
    570.75x = 856.25 × 228.75
  4. Step 4: Simplify right side
    570.75x = 195,866.04
  5. Step 5: Solve for x
    x = 195,866.04/570.75
  6. Step 6: Final answer
    x = 343.17

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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.