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Finding the Fourth Proportional to 338.24, 508.59 and 311.51

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Solution

The fourth proportional to 338.24, 508.59 and 311.51 is: 468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.24 : 508.59 = 311.51 : x
  2. Step 2: Convert to fraction form
    338.24/508.59 = 311.51/x
  3. Step 3: Cross multiply
    338.24x = 508.59 × 311.51
  4. Step 4: Simplify right side
    338.24x = 158,430.87
  5. Step 5: Solve for x
    x = 158,430.87/338.24
  6. Step 6: Final answer
    x = 468.40

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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.