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Finding the Fourth Proportional to 569.23, 785.59 and 320.57

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Solution

The fourth proportional to 569.23, 785.59 and 320.57 is: 442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.23 : 785.59 = 320.57 : x
  2. Step 2: Convert to fraction form
    569.23/785.59 = 320.57/x
  3. Step 3: Cross multiply
    569.23x = 785.59 × 320.57
  4. Step 4: Simplify right side
    569.23x = 251,834.80
  5. Step 5: Solve for x
    x = 251,834.80/569.23
  6. Step 6: Final answer
    x = 442.42

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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.