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Finding the Fourth Proportional to 858.48, 1,286.58 and 370.86

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Solution

The fourth proportional to 858.48, 1,286.58 and 370.86 is: 555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.48 : 1,286.58 = 370.86 : x
  2. Step 2: Convert to fraction form
    858.48/1,286.58 = 370.86/x
  3. Step 3: Cross multiply
    858.48x = 1,286.58 × 370.86
  4. Step 4: Simplify right side
    858.48x = 477,141.06
  5. Step 5: Solve for x
    x = 477,141.06/858.48
  6. Step 6: Final answer
    x = 555.80

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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.