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Finding the Fourth Proportional to 383.14, 529.02 and 337.06

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Solution

The fourth proportional to 383.14, 529.02 and 337.06 is: 465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.14 : 529.02 = 337.06 : x
  2. Step 2: Convert to fraction form
    383.14/529.02 = 337.06/x
  3. Step 3: Cross multiply
    383.14x = 529.02 × 337.06
  4. Step 4: Simplify right side
    383.14x = 178,311.48
  5. Step 5: Solve for x
    x = 178,311.48/383.14
  6. Step 6: Final answer
    x = 465.40

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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.