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Finding the Fourth Proportional to 405.07, 558.91 and 257.92

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Solution

The fourth proportional to 405.07, 558.91 and 257.92 is: 355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.07 : 558.91 = 257.92 : x
  2. Step 2: Convert to fraction form
    405.07/558.91 = 257.92/x
  3. Step 3: Cross multiply
    405.07x = 558.91 × 257.92
  4. Step 4: Simplify right side
    405.07x = 144,153.42
  5. Step 5: Solve for x
    x = 144,153.42/405.07
  6. Step 6: Final answer
    x = 355.87

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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.