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Finding the Fourth Proportional to 710.71, 1,065.44 and 277.54

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Solution

The fourth proportional to 710.71, 1,065.44 and 277.54 is: 416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.71 : 1,065.44 = 277.54 : x
  2. Step 2: Convert to fraction form
    710.71/1,065.44 = 277.54/x
  3. Step 3: Cross multiply
    710.71x = 1,065.44 × 277.54
  4. Step 4: Simplify right side
    710.71x = 295,700.83
  5. Step 5: Solve for x
    x = 295,700.83/710.71
  6. Step 6: Final answer
    x = 416.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.