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Finding the Fourth Proportional to 405.57, 559.58 and 258.15

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Solution

The fourth proportional to 405.57, 559.58 and 258.15 is: 356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.57 : 559.58 = 258.15 : x
  2. Step 2: Convert to fraction form
    405.57/559.58 = 258.15/x
  3. Step 3: Cross multiply
    405.57x = 559.58 × 258.15
  4. Step 4: Simplify right side
    405.57x = 144,455.58
  5. Step 5: Solve for x
    x = 144,455.58/405.57
  6. Step 6: Final answer
    x = 356.18

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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.