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Finding the Fourth Proportional to 284.52, 392.77 and 214.61

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Solution

The fourth proportional to 284.52, 392.77 and 214.61 is: 296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.52 : 392.77 = 214.61 : x
  2. Step 2: Convert to fraction form
    284.52/392.77 = 214.61/x
  3. Step 3: Cross multiply
    284.52x = 392.77 × 214.61
  4. Step 4: Simplify right side
    284.52x = 84,289.87
  5. Step 5: Solve for x
    x = 84,289.87/284.52
  6. Step 6: Final answer
    x = 296.25

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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.