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Finding the Fourth Proportional to 569.35, 785.72 and 320.68

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Solution

The fourth proportional to 569.35, 785.72 and 320.68 is: 442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.35 : 785.72 = 320.68 : x
  2. Step 2: Convert to fraction form
    569.35/785.72 = 320.68/x
  3. Step 3: Cross multiply
    569.35x = 785.72 × 320.68
  4. Step 4: Simplify right side
    569.35x = 251,963.36
  5. Step 5: Solve for x
    x = 251,963.36/569.35
  6. Step 6: Final answer
    x = 442.54

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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.