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Finding the Fourth Proportional to 570.96, 855.78 and 263.10

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Solution

The fourth proportional to 570.96, 855.78 and 263.10 is: 394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.96 : 855.78 = 263.10 : x
  2. Step 2: Convert to fraction form
    570.96/855.78 = 263.10/x
  3. Step 3: Cross multiply
    570.96x = 855.78 × 263.10
  4. Step 4: Simplify right side
    570.96x = 225,155.72
  5. Step 5: Solve for x
    x = 225,155.72/570.96
  6. Step 6: Final answer
    x = 394.35

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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.