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Finding the Fourth Proportional to 405.24, 559.14 and 258.06

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Solution

The fourth proportional to 405.24, 559.14 and 258.06 is: 356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.24 : 559.14 = 258.06 : x
  2. Step 2: Convert to fraction form
    405.24/559.14 = 258.06/x
  3. Step 3: Cross multiply
    405.24x = 559.14 × 258.06
  4. Step 4: Simplify right side
    405.24x = 144,291.67
  5. Step 5: Solve for x
    x = 144,291.67/405.24
  6. Step 6: Final answer
    x = 356.06

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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.