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Finding the Fourth Proportional to 569.27, 785.53 and 320.58

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Solution

The fourth proportional to 569.27, 785.53 and 320.58 is: 442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.27 : 785.53 = 320.58 : x
  2. Step 2: Convert to fraction form
    569.27/785.53 = 320.58/x
  3. Step 3: Cross multiply
    569.27x = 785.53 × 320.58
  4. Step 4: Simplify right side
    569.27x = 251,825.21
  5. Step 5: Solve for x
    x = 251,825.21/569.27
  6. Step 6: Final answer
    x = 442.37

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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.