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Finding the Fourth Proportional to 569.10, 785.34 and 320.43

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Solution

The fourth proportional to 569.10, 785.34 and 320.43 is: 442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.10 : 785.34 = 320.43 : x
  2. Step 2: Convert to fraction form
    569.10/785.34 = 320.43/x
  3. Step 3: Cross multiply
    569.10x = 785.34 × 320.43
  4. Step 4: Simplify right side
    569.10x = 251,649.44
  5. Step 5: Solve for x
    x = 251,649.44/569.10
  6. Step 6: Final answer
    x = 442.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.