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Finding the Fourth Proportional to 710.44, 1,065.82 and 293.88

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Solution

The fourth proportional to 710.44, 1,065.82 and 293.88 is: 440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.44 : 1,065.82 = 293.88 : x
  2. Step 2: Convert to fraction form
    710.44/1,065.82 = 293.88/x
  3. Step 3: Cross multiply
    710.44x = 1,065.82 × 293.88
  4. Step 4: Simplify right side
    710.44x = 313,223.18
  5. Step 5: Solve for x
    x = 313,223.18/710.44
  6. Step 6: Final answer
    x = 440.89

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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.