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Finding the Fourth Proportional to 370.12, 510.87 and 265.02

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Solution

The fourth proportional to 370.12, 510.87 and 265.02 is: 365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.12 : 510.87 = 265.02 : x
  2. Step 2: Convert to fraction form
    370.12/510.87 = 265.02/x
  3. Step 3: Cross multiply
    370.12x = 510.87 × 265.02
  4. Step 4: Simplify right side
    370.12x = 135,391.60
  5. Step 5: Solve for x
    x = 135,391.60/370.12
  6. Step 6: Final answer
    x = 365.81

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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.