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Finding the Fourth Proportional to 284.95, 427.78 and 242.47

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Solution

The fourth proportional to 284.95, 427.78 and 242.47 is: 364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.95 : 427.78 = 242.47 : x
  2. Step 2: Convert to fraction form
    284.95/427.78 = 242.47/x
  3. Step 3: Cross multiply
    284.95x = 427.78 × 242.47
  4. Step 4: Simplify right side
    284.95x = 103,721.68
  5. Step 5: Solve for x
    x = 103,721.68/284.95
  6. Step 6: Final answer
    x = 364.01

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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.