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Finding the Fourth Proportional to 370.71, 508.04 and 365.88

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Solution

The fourth proportional to 370.71, 508.04 and 365.88 is: 501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.71 : 508.04 = 365.88 : x
  2. Step 2: Convert to fraction form
    370.71/508.04 = 365.88/x
  3. Step 3: Cross multiply
    370.71x = 508.04 × 365.88
  4. Step 4: Simplify right side
    370.71x = 185,883.12
  5. Step 5: Solve for x
    x = 185,883.12/370.71
  6. Step 6: Final answer
    x = 501.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.