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Finding the Fourth Proportional to 600.14, 828.16 and 334.58

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Solution

The fourth proportional to 600.14, 828.16 and 334.58 is: 461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.14 : 828.16 = 334.58 : x
  2. Step 2: Convert to fraction form
    600.14/828.16 = 334.58/x
  3. Step 3: Cross multiply
    600.14x = 828.16 × 334.58
  4. Step 4: Simplify right side
    600.14x = 277,085.77
  5. Step 5: Solve for x
    x = 277,085.77/600.14
  6. Step 6: Final answer
    x = 461.70

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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.