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Finding the Fourth Proportional to 362.46, 499.58 and 283.62

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Solution

The fourth proportional to 362.46, 499.58 and 283.62 is: 390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.46 : 499.58 = 283.62 : x
  2. Step 2: Convert to fraction form
    362.46/499.58 = 283.62/x
  3. Step 3: Cross multiply
    362.46x = 499.58 × 283.62
  4. Step 4: Simplify right side
    362.46x = 141,690.88
  5. Step 5: Solve for x
    x = 141,690.88/362.46
  6. Step 6: Final answer
    x = 390.91

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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.