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Finding the Fourth Proportional to 405.10, 559.02 and 257.86

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Solution

The fourth proportional to 405.10, 559.02 and 257.86 is: 355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.10 : 559.02 = 257.86 : x
  2. Step 2: Convert to fraction form
    405.10/559.02 = 257.86/x
  3. Step 3: Cross multiply
    405.10x = 559.02 × 257.86
  4. Step 4: Simplify right side
    405.10x = 144,148.90
  5. Step 5: Solve for x
    x = 144,148.90/405.10
  6. Step 6: Final answer
    x = 355.84

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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.