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Finding the Fourth Proportional to 395.68, 545.59 and 253.70

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Solution

The fourth proportional to 395.68, 545.59 and 253.70 is: 349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.68 : 545.59 = 253.70 : x
  2. Step 2: Convert to fraction form
    395.68/545.59 = 253.70/x
  3. Step 3: Cross multiply
    395.68x = 545.59 × 253.70
  4. Step 4: Simplify right side
    395.68x = 138,416.91
  5. Step 5: Solve for x
    x = 138,416.91/395.68
  6. Step 6: Final answer
    x = 349.82

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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.