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Finding the Fourth Proportional to 570.56, 786.66 and 395.96

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Solution

The fourth proportional to 570.56, 786.66 and 395.96 is: 545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.56 : 786.66 = 395.96 : x
  2. Step 2: Convert to fraction form
    570.56/786.66 = 395.96/x
  3. Step 3: Cross multiply
    570.56x = 786.66 × 395.96
  4. Step 4: Simplify right side
    570.56x = 311,485.89
  5. Step 5: Solve for x
    x = 311,485.89/570.56
  6. Step 6: Final answer
    x = 545.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.