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Finding the Fourth Proportional to 442.50, 610.24 and 284.94

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Solution

The fourth proportional to 442.50, 610.24 and 284.94 is: 392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.50 : 610.24 = 284.94 : x
  2. Step 2: Convert to fraction form
    442.50/610.24 = 284.94/x
  3. Step 3: Cross multiply
    442.50x = 610.24 × 284.94
  4. Step 4: Simplify right side
    442.50x = 173,881.79
  5. Step 5: Solve for x
    x = 173,881.79/442.50
  6. Step 6: Final answer
    x = 392.95

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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.