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Finding the Fourth Proportional to 569.24, 854.63 and 364.21

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Solution

The fourth proportional to 569.24, 854.63 and 364.21 is: 546.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.24 : 854.63 = 364.21 : x
  2. Step 2: Convert to fraction form
    569.24/854.63 = 364.21/x
  3. Step 3: Cross multiply
    569.24x = 854.63 × 364.21
  4. Step 4: Simplify right side
    569.24x = 311,269.06
  5. Step 5: Solve for x
    x = 311,269.06/569.24
  6. Step 6: Final answer
    x = 546.81

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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.