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Finding the Fourth Proportional to 569.11, 785.45 and 320.53

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Solution

The fourth proportional to 569.11, 785.45 and 320.53 is: 442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.11 : 785.45 = 320.53 : x
  2. Step 2: Convert to fraction form
    569.11/785.45 = 320.53/x
  3. Step 3: Cross multiply
    569.11x = 785.45 × 320.53
  4. Step 4: Simplify right side
    569.11x = 251,760.29
  5. Step 5: Solve for x
    x = 251,760.29/569.11
  6. Step 6: Final answer
    x = 442.38

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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.