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Finding the Fourth Proportional to 284.07, 425.82 and 256.59

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Solution

The fourth proportional to 284.07, 425.82 and 256.59 is: 384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.07 : 425.82 = 256.59 : x
  2. Step 2: Convert to fraction form
    284.07/425.82 = 256.59/x
  3. Step 3: Cross multiply
    284.07x = 425.82 × 256.59
  4. Step 4: Simplify right side
    284.07x = 109,261.15
  5. Step 5: Solve for x
    x = 109,261.15/284.07
  6. Step 6: Final answer
    x = 384.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.