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Finding the Fourth Proportional to 709.41, 1,064.34 and 362.68

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Solution

The fourth proportional to 709.41, 1,064.34 and 362.68 is: 544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.41 : 1,064.34 = 362.68 : x
  2. Step 2: Convert to fraction form
    709.41/1,064.34 = 362.68/x
  3. Step 3: Cross multiply
    709.41x = 1,064.34 × 362.68
  4. Step 4: Simplify right side
    709.41x = 386,012.17
  5. Step 5: Solve for x
    x = 386,012.17/709.41
  6. Step 6: Final answer
    x = 544.13

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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.