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Finding the Fourth Proportional to 405.32, 559.34 and 250.06

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Solution

The fourth proportional to 405.32, 559.34 and 250.06 is: 345.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.32 : 559.34 = 250.06 : x
  2. Step 2: Convert to fraction form
    405.32/559.34 = 250.06/x
  3. Step 3: Cross multiply
    405.32x = 559.34 × 250.06
  4. Step 4: Simplify right side
    405.32x = 139,868.56
  5. Step 5: Solve for x
    x = 139,868.56/405.32
  6. Step 6: Final answer
    x = 345.08

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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.