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Finding the Fourth Proportional to 570.48, 855.81 and 245.83

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Solution

The fourth proportional to 570.48, 855.81 and 245.83 is: 368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.48 : 855.81 = 245.83 : x
  2. Step 2: Convert to fraction form
    570.48/855.81 = 245.83/x
  3. Step 3: Cross multiply
    570.48x = 855.81 × 245.83
  4. Step 4: Simplify right side
    570.48x = 210,383.77
  5. Step 5: Solve for x
    x = 210,383.77/570.48
  6. Step 6: Final answer
    x = 368.78

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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.