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Finding the Fourth Proportional to 405.50, 607.62 and 251.19

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Solution

The fourth proportional to 405.50, 607.62 and 251.19 is: 376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.50 : 607.62 = 251.19 : x
  2. Step 2: Convert to fraction form
    405.50/607.62 = 251.19/x
  3. Step 3: Cross multiply
    405.50x = 607.62 × 251.19
  4. Step 4: Simplify right side
    405.50x = 152,628.07
  5. Step 5: Solve for x
    x = 152,628.07/405.50
  6. Step 6: Final answer
    x = 376.40

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Why These Related Problems?

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