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Finding the Fourth Proportional to 358.51, 537.24 and 338.77

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Solution

The fourth proportional to 358.51, 537.24 and 338.77 is: 507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.51 : 537.24 = 338.77 : x
  2. Step 2: Convert to fraction form
    358.51/537.24 = 338.77/x
  3. Step 3: Cross multiply
    358.51x = 537.24 × 338.77
  4. Step 4: Simplify right side
    358.51x = 182,000.79
  5. Step 5: Solve for x
    x = 182,000.79/358.51
  6. Step 6: Final answer
    x = 507.66

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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.