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Finding the Fourth Proportional to 569.56, 853.80 and 309.18

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Solution

The fourth proportional to 569.56, 853.80 and 309.18 is: 463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.56 : 853.80 = 309.18 : x
  2. Step 2: Convert to fraction form
    569.56/853.80 = 309.18/x
  3. Step 3: Cross multiply
    569.56x = 853.80 × 309.18
  4. Step 4: Simplify right side
    569.56x = 263,973.62
  5. Step 5: Solve for x
    x = 263,973.62/569.56
  6. Step 6: Final answer
    x = 463.47

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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.