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Finding the Fourth Proportional to 405.97, 559.92 and 258.70

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Solution

The fourth proportional to 405.97, 559.92 and 258.70 is: 356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.97 : 559.92 = 258.70 : x
  2. Step 2: Convert to fraction form
    405.97/559.92 = 258.70/x
  3. Step 3: Cross multiply
    405.97x = 559.92 × 258.70
  4. Step 4: Simplify right side
    405.97x = 144,851.30
  5. Step 5: Solve for x
    x = 144,851.30/405.97
  6. Step 6: Final answer
    x = 356.80

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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.