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Finding the Fourth Proportional to 284.83, 392.84 and 214.90

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Solution

The fourth proportional to 284.83, 392.84 and 214.90 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.83 : 392.84 = 214.90 : x
  2. Step 2: Convert to fraction form
    284.83/392.84 = 214.90/x
  3. Step 3: Cross multiply
    284.83x = 392.84 × 214.90
  4. Step 4: Simplify right side
    284.83x = 84,419.26
  5. Step 5: Solve for x
    x = 84,419.26/284.83
  6. Step 6: Final answer
    x = 296.39

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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.