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Finding the Fourth Proportional to 440.60, 607.50 and 293.24

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Solution

The fourth proportional to 440.60, 607.50 and 293.24 is: 404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.60 : 607.50 = 293.24 : x
  2. Step 2: Convert to fraction form
    440.60/607.50 = 293.24/x
  3. Step 3: Cross multiply
    440.60x = 607.50 × 293.24
  4. Step 4: Simplify right side
    440.60x = 178,143.30
  5. Step 5: Solve for x
    x = 178,143.30/440.60
  6. Step 6: Final answer
    x = 404.32

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Why These Related Problems?

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