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Finding the Fourth Proportional to 569.80, 854.25 and 364.24

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Solution

The fourth proportional to 569.80, 854.25 and 364.24 is: 546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.80 : 854.25 = 364.24 : x
  2. Step 2: Convert to fraction form
    569.80/854.25 = 364.24/x
  3. Step 3: Cross multiply
    569.80x = 854.25 × 364.24
  4. Step 4: Simplify right side
    569.80x = 311,152.02
  5. Step 5: Solve for x
    x = 311,152.02/569.80
  6. Step 6: Final answer
    x = 546.07

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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.