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Finding the Fourth Proportional to 349.10, 519.08 and 334.52

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Solution

The fourth proportional to 349.10, 519.08 and 334.52 is: 497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.10 : 519.08 = 334.52 : x
  2. Step 2: Convert to fraction form
    349.10/519.08 = 334.52/x
  3. Step 3: Cross multiply
    349.10x = 519.08 × 334.52
  4. Step 4: Simplify right side
    349.10x = 173,642.64
  5. Step 5: Solve for x
    x = 173,642.64/349.10
  6. Step 6: Final answer
    x = 497.40

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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.