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Finding the Fourth Proportional to 569.12, 853.41 and 374.10

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Solution

The fourth proportional to 569.12, 853.41 and 374.10 is: 560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.12 : 853.41 = 374.10 : x
  2. Step 2: Convert to fraction form
    569.12/853.41 = 374.10/x
  3. Step 3: Cross multiply
    569.12x = 853.41 × 374.10
  4. Step 4: Simplify right side
    569.12x = 319,260.68
  5. Step 5: Solve for x
    x = 319,260.68/569.12
  6. Step 6: Final answer
    x = 560.98

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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.