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Finding the Fourth Proportional to 383.05, 528.40 and 300.13

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Solution

The fourth proportional to 383.05, 528.40 and 300.13 is: 414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.05 : 528.40 = 300.13 : x
  2. Step 2: Convert to fraction form
    383.05/528.40 = 300.13/x
  3. Step 3: Cross multiply
    383.05x = 528.40 × 300.13
  4. Step 4: Simplify right side
    383.05x = 158,588.69
  5. Step 5: Solve for x
    x = 158,588.69/383.05
  6. Step 6: Final answer
    x = 414.02

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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.