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Finding the Fourth Proportional to 370.98, 511.16 and 358.34

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Solution

The fourth proportional to 370.98, 511.16 and 358.34 is: 493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.98 : 511.16 = 358.34 : x
  2. Step 2: Convert to fraction form
    370.98/511.16 = 358.34/x
  3. Step 3: Cross multiply
    370.98x = 511.16 × 358.34
  4. Step 4: Simplify right side
    370.98x = 183,164.73
  5. Step 5: Solve for x
    x = 183,164.73/370.98
  6. Step 6: Final answer
    x = 493.73

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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.