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Finding the Fourth Proportional to 370.09, 510.92 and 287.01

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Solution

The fourth proportional to 370.09, 510.92 and 287.01 is: 396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.09 : 510.92 = 287.01 : x
  2. Step 2: Convert to fraction form
    370.09/510.92 = 287.01/x
  3. Step 3: Cross multiply
    370.09x = 510.92 × 287.01
  4. Step 4: Simplify right side
    370.09x = 146,639.15
  5. Step 5: Solve for x
    x = 146,639.15/370.09
  6. Step 6: Final answer
    x = 396.23

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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.