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Finding the Fourth Proportional to 570.11, 856.14 and 340.43

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Solution

The fourth proportional to 570.11, 856.14 and 340.43 is: 511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.11 : 856.14 = 340.43 : x
  2. Step 2: Convert to fraction form
    570.11/856.14 = 340.43/x
  3. Step 3: Cross multiply
    570.11x = 856.14 × 340.43
  4. Step 4: Simplify right side
    570.11x = 291,455.46
  5. Step 5: Solve for x
    x = 291,455.46/570.11
  6. Step 6: Final answer
    x = 511.22

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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.