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Finding the Fourth Proportional to 710.14, 1,065.21 and 271.58

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Solution

The fourth proportional to 710.14, 1,065.21 and 271.58 is: 407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.14 : 1,065.21 = 271.58 : x
  2. Step 2: Convert to fraction form
    710.14/1,065.21 = 271.58/x
  3. Step 3: Cross multiply
    710.14x = 1,065.21 × 271.58
  4. Step 4: Simplify right side
    710.14x = 289,289.73
  5. Step 5: Solve for x
    x = 289,289.73/710.14
  6. Step 6: Final answer
    x = 407.37

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Why These Related Problems?

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