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Finding the Fourth Proportional to 284.63, 392.93 and 214.58

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Solution

The fourth proportional to 284.63, 392.93 and 214.58 is: 296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.63 : 392.93 = 214.58 : x
  2. Step 2: Convert to fraction form
    284.63/392.93 = 214.58/x
  3. Step 3: Cross multiply
    284.63x = 392.93 × 214.58
  4. Step 4: Simplify right side
    284.63x = 84,314.92
  5. Step 5: Solve for x
    x = 84,314.92/284.63
  6. Step 6: Final answer
    x = 296.23

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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.