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Finding the Fourth Proportional to 367.76, 507.45 and 293.25

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Solution

The fourth proportional to 367.76, 507.45 and 293.25 is: 404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.76 : 507.45 = 293.25 : x
  2. Step 2: Convert to fraction form
    367.76/507.45 = 293.25/x
  3. Step 3: Cross multiply
    367.76x = 507.45 × 293.25
  4. Step 4: Simplify right side
    367.76x = 148,809.71
  5. Step 5: Solve for x
    x = 148,809.71/367.76
  6. Step 6: Final answer
    x = 404.64

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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.