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Finding the Fourth Proportional to 349.79, 521.10 and 334.00

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Solution

The fourth proportional to 349.79, 521.10 and 334.00 is: 497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.79 : 521.10 = 334.00 : x
  2. Step 2: Convert to fraction form
    349.79/521.10 = 334.00/x
  3. Step 3: Cross multiply
    349.79x = 521.10 × 334.00
  4. Step 4: Simplify right side
    349.79x = 174,046.10
  5. Step 5: Solve for x
    x = 174,046.10/349.79
  6. Step 6: Final answer
    x = 497.57

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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.