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Finding the Fourth Proportional to 370.64, 512.04 and 367.76

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Solution

The fourth proportional to 370.64, 512.04 and 367.76 is: 508.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.64 : 512.04 = 367.76 : x
  2. Step 2: Convert to fraction form
    370.64/512.04 = 367.76/x
  3. Step 3: Cross multiply
    370.64x = 512.04 × 367.76
  4. Step 4: Simplify right side
    370.64x = 188,307.83
  5. Step 5: Solve for x
    x = 188,307.83/370.64
  6. Step 6: Final answer
    x = 508.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.