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Finding the Fourth Proportional to 569.40, 854.67 and 244.86

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Solution

The fourth proportional to 569.40, 854.67 and 244.86 is: 367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.40 : 854.67 = 244.86 : x
  2. Step 2: Convert to fraction form
    569.40/854.67 = 244.86/x
  3. Step 3: Cross multiply
    569.40x = 854.67 × 244.86
  4. Step 4: Simplify right side
    569.40x = 209,274.50
  5. Step 5: Solve for x
    x = 209,274.50/569.40
  6. Step 6: Final answer
    x = 367.54

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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.