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Finding the Fourth Proportional to 405.36, 558.96 and 257.76

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Solution

The fourth proportional to 405.36, 558.96 and 257.76 is: 355.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.36 : 558.96 = 257.76 : x
  2. Step 2: Convert to fraction form
    405.36/558.96 = 257.76/x
  3. Step 3: Cross multiply
    405.36x = 558.96 × 257.76
  4. Step 4: Simplify right side
    405.36x = 144,077.53
  5. Step 5: Solve for x
    x = 144,077.53/405.36
  6. Step 6: Final answer
    x = 355.43

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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.