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Finding the Fourth Proportional to 675.47, 931.82 and 395.71

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Solution

The fourth proportional to 675.47, 931.82 and 395.71 is: 545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.47 : 931.82 = 395.71 : x
  2. Step 2: Convert to fraction form
    675.47/931.82 = 395.71/x
  3. Step 3: Cross multiply
    675.47x = 931.82 × 395.71
  4. Step 4: Simplify right side
    675.47x = 368,730.49
  5. Step 5: Solve for x
    x = 368,730.49/675.47
  6. Step 6: Final answer
    x = 545.89

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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.