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Finding the Fourth Proportional to 284.55, 392.86 and 214.74

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Solution

The fourth proportional to 284.55, 392.86 and 214.74 is: 296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.55 : 392.86 = 214.74 : x
  2. Step 2: Convert to fraction form
    284.55/392.86 = 214.74/x
  3. Step 3: Cross multiply
    284.55x = 392.86 × 214.74
  4. Step 4: Simplify right side
    284.55x = 84,362.76
  5. Step 5: Solve for x
    x = 84,362.76/284.55
  6. Step 6: Final answer
    x = 296.48

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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.