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Finding the Fourth Proportional to 569.30, 854.04 and 276.53

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Solution

The fourth proportional to 569.30, 854.04 and 276.53 is: 414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.30 : 854.04 = 276.53 : x
  2. Step 2: Convert to fraction form
    569.30/854.04 = 276.53/x
  3. Step 3: Cross multiply
    569.30x = 854.04 × 276.53
  4. Step 4: Simplify right side
    569.30x = 236,167.68
  5. Step 5: Solve for x
    x = 236,167.68/569.30
  6. Step 6: Final answer
    x = 414.84

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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.