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Finding the Fourth Proportional to 395.29, 545.24 and 284.93

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Solution

The fourth proportional to 395.29, 545.24 and 284.93 is: 393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.29 : 545.24 = 284.93 : x
  2. Step 2: Convert to fraction form
    395.29/545.24 = 284.93/x
  3. Step 3: Cross multiply
    395.29x = 545.24 × 284.93
  4. Step 4: Simplify right side
    395.29x = 155,351.08
  5. Step 5: Solve for x
    x = 155,351.08/395.29
  6. Step 6: Final answer
    x = 393.01

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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.