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Finding the Fourth Proportional to 569.66, 853.66 and 453.58

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Solution

The fourth proportional to 569.66, 853.66 and 453.58 is: 679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.66 : 853.66 = 453.58 : x
  2. Step 2: Convert to fraction form
    569.66/853.66 = 453.58/x
  3. Step 3: Cross multiply
    569.66x = 853.66 × 453.58
  4. Step 4: Simplify right side
    569.66x = 387,203.10
  5. Step 5: Solve for x
    x = 387,203.10/569.66
  6. Step 6: Final answer
    x = 679.71

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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.