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Finding the Fourth Proportional to 338.47, 507.51 and 305.71

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Solution

The fourth proportional to 338.47, 507.51 and 305.71 is: 458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.47 : 507.51 = 305.71 : x
  2. Step 2: Convert to fraction form
    338.47/507.51 = 305.71/x
  3. Step 3: Cross multiply
    338.47x = 507.51 × 305.71
  4. Step 4: Simplify right side
    338.47x = 155,150.88
  5. Step 5: Solve for x
    x = 155,150.88/338.47
  6. Step 6: Final answer
    x = 458.39

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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.