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Finding the Fourth Proportional to 395.93, 545.63 and 285.21

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Solution

The fourth proportional to 395.93, 545.63 and 285.21 is: 393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.93 : 545.63 = 285.21 : x
  2. Step 2: Convert to fraction form
    395.93/545.63 = 285.21/x
  3. Step 3: Cross multiply
    395.93x = 545.63 × 285.21
  4. Step 4: Simplify right side
    395.93x = 155,617.71
  5. Step 5: Solve for x
    x = 155,617.71/395.93
  6. Step 6: Final answer
    x = 393.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.