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Finding the Fourth Proportional to 569.04, 853.74 and 294.96

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Solution

The fourth proportional to 569.04, 853.74 and 294.96 is: 442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.04 : 853.74 = 294.96 : x
  2. Step 2: Convert to fraction form
    569.04/853.74 = 294.96/x
  3. Step 3: Cross multiply
    569.04x = 853.74 × 294.96
  4. Step 4: Simplify right side
    569.04x = 251,819.15
  5. Step 5: Solve for x
    x = 251,819.15/569.04
  6. Step 6: Final answer
    x = 442.53

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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.