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Finding the Fourth Proportional to 284.35, 423.94 and 277.24

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Solution

The fourth proportional to 284.35, 423.94 and 277.24 is: 413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.35 : 423.94 = 277.24 : x
  2. Step 2: Convert to fraction form
    284.35/423.94 = 277.24/x
  3. Step 3: Cross multiply
    284.35x = 423.94 × 277.24
  4. Step 4: Simplify right side
    284.35x = 117,533.13
  5. Step 5: Solve for x
    x = 117,533.13/284.35
  6. Step 6: Final answer
    x = 413.34

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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.