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Finding the Fourth Proportional to 405.48, 559.80 and 258.34

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Solution

The fourth proportional to 405.48, 559.80 and 258.34 is: 356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.48 : 559.80 = 258.34 : x
  2. Step 2: Convert to fraction form
    405.48/559.80 = 258.34/x
  3. Step 3: Cross multiply
    405.48x = 559.80 × 258.34
  4. Step 4: Simplify right side
    405.48x = 144,618.73
  5. Step 5: Solve for x
    x = 144,618.73/405.48
  6. Step 6: Final answer
    x = 356.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.