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Finding the Fourth Proportional to 412.38, 569.03 and 257.13

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Solution

The fourth proportional to 412.38, 569.03 and 257.13 is: 354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.38 : 569.03 = 257.13 : x
  2. Step 2: Convert to fraction form
    412.38/569.03 = 257.13/x
  3. Step 3: Cross multiply
    412.38x = 569.03 × 257.13
  4. Step 4: Simplify right side
    412.38x = 146,313.40
  5. Step 5: Solve for x
    x = 146,313.40/412.38
  6. Step 6: Final answer
    x = 354.80

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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.