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Finding the Fourth Proportional to 341.46, 508.75 and 338.04

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Solution

The fourth proportional to 341.46, 508.75 and 338.04 is: 503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.46 : 508.75 = 338.04 : x
  2. Step 2: Convert to fraction form
    341.46/508.75 = 338.04/x
  3. Step 3: Cross multiply
    341.46x = 508.75 × 338.04
  4. Step 4: Simplify right side
    341.46x = 171,977.85
  5. Step 5: Solve for x
    x = 171,977.85/341.46
  6. Step 6: Final answer
    x = 503.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.