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Finding the Fourth Proportional to 570.74, 856.14 and 224.06

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Solution

The fourth proportional to 570.74, 856.14 and 224.06 is: 336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.74 : 856.14 = 224.06 : x
  2. Step 2: Convert to fraction form
    570.74/856.14 = 224.06/x
  3. Step 3: Cross multiply
    570.74x = 856.14 × 224.06
  4. Step 4: Simplify right side
    570.74x = 191,822.45
  5. Step 5: Solve for x
    x = 191,822.45/570.74
  6. Step 6: Final answer
    x = 336.10

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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.