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Finding the Fourth Proportional to 370.10, 509.36 and 310.95

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Solution

The fourth proportional to 370.10, 509.36 and 310.95 is: 427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.10 : 509.36 = 310.95 : x
  2. Step 2: Convert to fraction form
    370.10/509.36 = 310.95/x
  3. Step 3: Cross multiply
    370.10x = 509.36 × 310.95
  4. Step 4: Simplify right side
    370.10x = 158,383.94
  5. Step 5: Solve for x
    x = 158,383.94/370.10
  6. Step 6: Final answer
    x = 427.95

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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.