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Finding the Fourth Proportional to 383.18, 529.00 and 304.38

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Solution

The fourth proportional to 383.18, 529.00 and 304.38 is: 420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.18 : 529.00 = 304.38 : x
  2. Step 2: Convert to fraction form
    383.18/529.00 = 304.38/x
  3. Step 3: Cross multiply
    383.18x = 529.00 × 304.38
  4. Step 4: Simplify right side
    383.18x = 161,016.26
  5. Step 5: Solve for x
    x = 161,016.26/383.18
  6. Step 6: Final answer
    x = 420.22

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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.