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Finding the Fourth Proportional to 569.16, 784.97 and 401.66

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Solution

The fourth proportional to 569.16, 784.97 and 401.66 is: 553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 784.97 = 401.66 : x
  2. Step 2: Convert to fraction form
    569.16/784.97 = 401.66/x
  3. Step 3: Cross multiply
    569.16x = 784.97 × 401.66
  4. Step 4: Simplify right side
    569.16x = 315,291.05
  5. Step 5: Solve for x
    x = 315,291.05/569.16
  6. Step 6: Final answer
    x = 553.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.