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Finding the Fourth Proportional to 570.72, 856.10 and 296.63

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Solution

The fourth proportional to 570.72, 856.10 and 296.63 is: 444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.72 : 856.10 = 296.63 : x
  2. Step 2: Convert to fraction form
    570.72/856.10 = 296.63/x
  3. Step 3: Cross multiply
    570.72x = 856.10 × 296.63
  4. Step 4: Simplify right side
    570.72x = 253,944.94
  5. Step 5: Solve for x
    x = 253,944.94/570.72
  6. Step 6: Final answer
    x = 444.96

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