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Finding the Fourth Proportional to 847.08, 1,269.62 and 360

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Solution

The fourth proportional to 847.08, 1,269.62 and 360 is: 539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.08 : 1,269.62 = 360 : x
  2. Step 2: Convert to fraction form
    847.08/1,269.62 = 360/x
  3. Step 3: Cross multiply
    847.08x = 1,269.62 × 360
  4. Step 4: Simplify right side
    847.08x = 457,063.20
  5. Step 5: Solve for x
    x = 457,063.20/847.08
  6. Step 6: Final answer
    x = 539.58

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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.