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Finding the Fourth Proportional to 569.39, 785.61 and 345.35

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Solution

The fourth proportional to 569.39, 785.61 and 345.35 is: 476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.39 : 785.61 = 345.35 : x
  2. Step 2: Convert to fraction form
    569.39/785.61 = 345.35/x
  3. Step 3: Cross multiply
    569.39x = 785.61 × 345.35
  4. Step 4: Simplify right side
    569.39x = 271,306.49
  5. Step 5: Solve for x
    x = 271,306.49/569.39
  6. Step 6: Final answer
    x = 476.49

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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.