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Finding the Fourth Proportional to 559.60, 839.64 and 364.24

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Solution

The fourth proportional to 559.60, 839.64 and 364.24 is: 546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.60 : 839.64 = 364.24 : x
  2. Step 2: Convert to fraction form
    559.60/839.64 = 364.24/x
  3. Step 3: Cross multiply
    559.60x = 839.64 × 364.24
  4. Step 4: Simplify right side
    559.60x = 305,830.47
  5. Step 5: Solve for x
    x = 305,830.47/559.60
  6. Step 6: Final answer
    x = 546.52

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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.