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Finding the Fourth Proportional to 405.78, 559.81 and 258.38

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Solution

The fourth proportional to 405.78, 559.81 and 258.38 is: 356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.78 : 559.81 = 258.38 : x
  2. Step 2: Convert to fraction form
    405.78/559.81 = 258.38/x
  3. Step 3: Cross multiply
    405.78x = 559.81 × 258.38
  4. Step 4: Simplify right side
    405.78x = 144,642.42
  5. Step 5: Solve for x
    x = 144,642.42/405.78
  6. Step 6: Final answer
    x = 356.46

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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.