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Finding the Fourth Proportional to 338.18, 507.26 and 292.40

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Solution

The fourth proportional to 338.18, 507.26 and 292.40 is: 438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.18 : 507.26 = 292.40 : x
  2. Step 2: Convert to fraction form
    338.18/507.26 = 292.40/x
  3. Step 3: Cross multiply
    338.18x = 507.26 × 292.40
  4. Step 4: Simplify right side
    338.18x = 148,320.29
  5. Step 5: Solve for x
    x = 148,320.29/338.18
  6. Step 6: Final answer
    x = 438.58

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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.