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Finding the Fourth Proportional to 569.30, 785.68 and 320.68

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Solution

The fourth proportional to 569.30, 785.68 and 320.68 is: 442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.30 : 785.68 = 320.68 : x
  2. Step 2: Convert to fraction form
    569.30/785.68 = 320.68/x
  3. Step 3: Cross multiply
    569.30x = 785.68 × 320.68
  4. Step 4: Simplify right side
    569.30x = 251,951.86
  5. Step 5: Solve for x
    x = 251,951.86/569.30
  6. Step 6: Final answer
    x = 442.56

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