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Finding the Fourth Proportional to 858.81, 1,288.28 and 338.77

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Solution

The fourth proportional to 858.81, 1,288.28 and 338.77 is: 508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.81 : 1,288.28 = 338.77 : x
  2. Step 2: Convert to fraction form
    858.81/1,288.28 = 338.77/x
  3. Step 3: Cross multiply
    858.81x = 1,288.28 × 338.77
  4. Step 4: Simplify right side
    858.81x = 436,430.62
  5. Step 5: Solve for x
    x = 436,430.62/858.81
  6. Step 6: Final answer
    x = 508.18

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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.