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Finding the Fourth Proportional to 569.01, 853.01 and 472.31

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Solution

The fourth proportional to 569.01, 853.01 and 472.31 is: 708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.01 : 853.01 = 472.31 : x
  2. Step 2: Convert to fraction form
    569.01/853.01 = 472.31/x
  3. Step 3: Cross multiply
    569.01x = 853.01 × 472.31
  4. Step 4: Simplify right side
    569.01x = 402,885.15
  5. Step 5: Solve for x
    x = 402,885.15/569.01
  6. Step 6: Final answer
    x = 708.05

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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.