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Finding the Fourth Proportional to 370.08, 511.40 and 357.92

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Solution

The fourth proportional to 370.08, 511.40 and 357.92 is: 494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.08 : 511.40 = 357.92 : x
  2. Step 2: Convert to fraction form
    370.08/511.40 = 357.92/x
  3. Step 3: Cross multiply
    370.08x = 511.40 × 357.92
  4. Step 4: Simplify right side
    370.08x = 183,040.29
  5. Step 5: Solve for x
    x = 183,040.29/370.08
  6. Step 6: Final answer
    x = 494.60

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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.