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Finding the Fourth Proportional to 405.93, 607.38 and 240.80

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Solution

The fourth proportional to 405.93, 607.38 and 240.80 is: 360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.93 : 607.38 = 240.80 : x
  2. Step 2: Convert to fraction form
    405.93/607.38 = 240.80/x
  3. Step 3: Cross multiply
    405.93x = 607.38 × 240.80
  4. Step 4: Simplify right side
    405.93x = 146,254.96
  5. Step 5: Solve for x
    x = 146,254.96/405.93
  6. Step 6: Final answer
    x = 360.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.