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Finding the Fourth Proportional to 569.84, 786.15 and 348.71

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Solution

The fourth proportional to 569.84, 786.15 and 348.71 is: 481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.84 : 786.15 = 348.71 : x
  2. Step 2: Convert to fraction form
    569.84/786.15 = 348.71/x
  3. Step 3: Cross multiply
    569.84x = 786.15 × 348.71
  4. Step 4: Simplify right side
    569.84x = 274,134.44
  5. Step 5: Solve for x
    x = 274,134.44/569.84
  6. Step 6: Final answer
    x = 481.08

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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.