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Finding the Fourth Proportional to 284.64, 424.36 and 277.42

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Solution

The fourth proportional to 284.64, 424.36 and 277.42 is: 413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.64 : 424.36 = 277.42 : x
  2. Step 2: Convert to fraction form
    284.64/424.36 = 277.42/x
  3. Step 3: Cross multiply
    284.64x = 424.36 × 277.42
  4. Step 4: Simplify right side
    284.64x = 117,725.95
  5. Step 5: Solve for x
    x = 117,725.95/284.64
  6. Step 6: Final answer
    x = 413.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.