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Finding the Fourth Proportional to 569.04, 854.01 and 396.92

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Solution

The fourth proportional to 569.04, 854.01 and 396.92 is: 595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.04 : 854.01 = 396.92 : x
  2. Step 2: Convert to fraction form
    569.04/854.01 = 396.92/x
  3. Step 3: Cross multiply
    569.04x = 854.01 × 396.92
  4. Step 4: Simplify right side
    569.04x = 338,969.38
  5. Step 5: Solve for x
    x = 338,969.38/569.04
  6. Step 6: Final answer
    x = 595.69

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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.