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Finding the Fourth Proportional to 405.68, 559.96 and 258.40

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Solution

The fourth proportional to 405.68, 559.96 and 258.40 is: 356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.68 : 559.96 = 258.40 : x
  2. Step 2: Convert to fraction form
    405.68/559.96 = 258.40/x
  3. Step 3: Cross multiply
    405.68x = 559.96 × 258.40
  4. Step 4: Simplify right side
    405.68x = 144,693.66
  5. Step 5: Solve for x
    x = 144,693.66/405.68
  6. Step 6: Final answer
    x = 356.67

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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.