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Finding the Fourth Proportional to 333.47, 460.13 and 283.87

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Solution

The fourth proportional to 333.47, 460.13 and 283.87 is: 391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.47 : 460.13 = 283.87 : x
  2. Step 2: Convert to fraction form
    333.47/460.13 = 283.87/x
  3. Step 3: Cross multiply
    333.47x = 460.13 × 283.87
  4. Step 4: Simplify right side
    333.47x = 130,613.74
  5. Step 5: Solve for x
    x = 130,613.74/333.47
  6. Step 6: Final answer
    x = 391.68

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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.