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Finding the Fourth Proportional to 371.07, 511.29 and 266.07

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Solution

The fourth proportional to 371.07, 511.29 and 266.07 is: 366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.07 : 511.29 = 266.07 : x
  2. Step 2: Convert to fraction form
    371.07/511.29 = 266.07/x
  3. Step 3: Cross multiply
    371.07x = 511.29 × 266.07
  4. Step 4: Simplify right side
    371.07x = 136,038.93
  5. Step 5: Solve for x
    x = 136,038.93/371.07
  6. Step 6: Final answer
    x = 366.61

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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.