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Finding the Fourth Proportional to 349.94, 521.86 and 306.81

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Solution

The fourth proportional to 349.94, 521.86 and 306.81 is: 457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.94 : 521.86 = 306.81 : x
  2. Step 2: Convert to fraction form
    349.94/521.86 = 306.81/x
  3. Step 3: Cross multiply
    349.94x = 521.86 × 306.81
  4. Step 4: Simplify right side
    349.94x = 160,111.10
  5. Step 5: Solve for x
    x = 160,111.10/349.94
  6. Step 6: Final answer
    x = 457.54

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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.