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Finding the Fourth Proportional to 349.98, 526.41 and 306.78

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Solution

The fourth proportional to 349.98, 526.41 and 306.78 is: 461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.98 : 526.41 = 306.78 : x
  2. Step 2: Convert to fraction form
    349.98/526.41 = 306.78/x
  3. Step 3: Cross multiply
    349.98x = 526.41 × 306.78
  4. Step 4: Simplify right side
    349.98x = 161,492.06
  5. Step 5: Solve for x
    x = 161,492.06/349.98
  6. Step 6: Final answer
    x = 461.43

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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.