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Finding the Fourth Proportional to 367.71, 507.06 and 292.92

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Solution

The fourth proportional to 367.71, 507.06 and 292.92 is: 403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.71 : 507.06 = 292.92 : x
  2. Step 2: Convert to fraction form
    367.71/507.06 = 292.92/x
  3. Step 3: Cross multiply
    367.71x = 507.06 × 292.92
  4. Step 4: Simplify right side
    367.71x = 148,528.02
  5. Step 5: Solve for x
    x = 148,528.02/367.71
  6. Step 6: Final answer
    x = 403.93

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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.