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Finding the Fourth Proportional to 349.74, 524.13 and 310.86

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Solution

The fourth proportional to 349.74, 524.13 and 310.86 is: 465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.74 : 524.13 = 310.86 : x
  2. Step 2: Convert to fraction form
    349.74/524.13 = 310.86/x
  3. Step 3: Cross multiply
    349.74x = 524.13 × 310.86
  4. Step 4: Simplify right side
    349.74x = 162,931.05
  5. Step 5: Solve for x
    x = 162,931.05/349.74
  6. Step 6: Final answer
    x = 465.86

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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.