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Finding the Fourth Proportional to 569.49, 785.72 and 348.21

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Solution

The fourth proportional to 569.49, 785.72 and 348.21 is: 480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.49 : 785.72 = 348.21 : x
  2. Step 2: Convert to fraction form
    569.49/785.72 = 348.21/x
  3. Step 3: Cross multiply
    569.49x = 785.72 × 348.21
  4. Step 4: Simplify right side
    569.49x = 273,595.56
  5. Step 5: Solve for x
    x = 273,595.56/569.49
  6. Step 6: Final answer
    x = 480.42

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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.