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Finding the Fourth Proportional to 349.58, 480.98 and 302.81

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Solution

The fourth proportional to 349.58, 480.98 and 302.81 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.58 : 480.98 = 302.81 : x
  2. Step 2: Convert to fraction form
    349.58/480.98 = 302.81/x
  3. Step 3: Cross multiply
    349.58x = 480.98 × 302.81
  4. Step 4: Simplify right side
    349.58x = 145,643.91
  5. Step 5: Solve for x
    x = 145,643.91/349.58
  6. Step 6: Final answer
    x = 416.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.