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Finding the Fourth Proportional to 412.52, 569.14 and 257.26

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Solution

The fourth proportional to 412.52, 569.14 and 257.26 is: 354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.52 : 569.14 = 257.26 : x
  2. Step 2: Convert to fraction form
    412.52/569.14 = 257.26/x
  3. Step 3: Cross multiply
    412.52x = 569.14 × 257.26
  4. Step 4: Simplify right side
    412.52x = 146,416.96
  5. Step 5: Solve for x
    x = 146,416.96/412.52
  6. Step 6: Final answer
    x = 354.93

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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.