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Finding the Fourth Proportional to 570.95, 856.11 and 180.84

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Solution

The fourth proportional to 570.95, 856.11 and 180.84 is: 271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.95 : 856.11 = 180.84 : x
  2. Step 2: Convert to fraction form
    570.95/856.11 = 180.84/x
  3. Step 3: Cross multiply
    570.95x = 856.11 × 180.84
  4. Step 4: Simplify right side
    570.95x = 154,813.75
  5. Step 5: Solve for x
    x = 154,813.75/570.95
  6. Step 6: Final answer
    x = 271.15

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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.