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Finding the Fourth Proportional to 383.51, 574.05 and 302.51

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Solution

The fourth proportional to 383.51, 574.05 and 302.51 is: 452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.51 : 574.05 = 302.51 : x
  2. Step 2: Convert to fraction form
    383.51/574.05 = 302.51/x
  3. Step 3: Cross multiply
    383.51x = 574.05 × 302.51
  4. Step 4: Simplify right side
    383.51x = 173,655.87
  5. Step 5: Solve for x
    x = 173,655.87/383.51
  6. Step 6: Final answer
    x = 452.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.