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Finding the Fourth Proportional to 570.70, 856.14 and 246.07

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Solution

The fourth proportional to 570.70, 856.14 and 246.07 is: 369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.70 : 856.14 = 246.07 : x
  2. Step 2: Convert to fraction form
    570.70/856.14 = 246.07/x
  3. Step 3: Cross multiply
    570.70x = 856.14 × 246.07
  4. Step 4: Simplify right side
    570.70x = 210,670.37
  5. Step 5: Solve for x
    x = 210,670.37/570.70
  6. Step 6: Final answer
    x = 369.14

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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.