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Finding the Fourth Proportional to 351.62, 484.86 and 302.01

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Solution

The fourth proportional to 351.62, 484.86 and 302.01 is: 416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.62 : 484.86 = 302.01 : x
  2. Step 2: Convert to fraction form
    351.62/484.86 = 302.01/x
  3. Step 3: Cross multiply
    351.62x = 484.86 × 302.01
  4. Step 4: Simplify right side
    351.62x = 146,432.57
  5. Step 5: Solve for x
    x = 146,432.57/351.62
  6. Step 6: Final answer
    x = 416.45

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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.