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Finding the Fourth Proportional to 569.63, 853.62 and 309.41

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Solution

The fourth proportional to 569.63, 853.62 and 309.41 is: 463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.63 : 853.62 = 309.41 : x
  2. Step 2: Convert to fraction form
    569.63/853.62 = 309.41/x
  3. Step 3: Cross multiply
    569.63x = 853.62 × 309.41
  4. Step 4: Simplify right side
    569.63x = 264,118.56
  5. Step 5: Solve for x
    x = 264,118.56/569.63
  6. Step 6: Final answer
    x = 463.67

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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.