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Finding the Fourth Proportional to 569.65, 786.13 and 348.72

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Solution

The fourth proportional to 569.65, 786.13 and 348.72 is: 481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.65 : 786.13 = 348.72 : x
  2. Step 2: Convert to fraction form
    569.65/786.13 = 348.72/x
  3. Step 3: Cross multiply
    569.65x = 786.13 × 348.72
  4. Step 4: Simplify right side
    569.65x = 274,138.38
  5. Step 5: Solve for x
    x = 274,138.38/569.65
  6. Step 6: Final answer
    x = 481.24

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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.