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Finding the Fourth Proportional to 370.31, 509.33 and 303.44

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Solution

The fourth proportional to 370.31, 509.33 and 303.44 is: 417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.31 : 509.33 = 303.44 : x
  2. Step 2: Convert to fraction form
    370.31/509.33 = 303.44/x
  3. Step 3: Cross multiply
    370.31x = 509.33 × 303.44
  4. Step 4: Simplify right side
    370.31x = 154,549.31
  5. Step 5: Solve for x
    x = 154,549.31/370.31
  6. Step 6: Final answer
    x = 417.36

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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.