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Finding the Fourth Proportional to 522.84, 783.62 and 244.82

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Solution

The fourth proportional to 522.84, 783.62 and 244.82 is: 366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 783.62 = 244.82 : x
  2. Step 2: Convert to fraction form
    522.84/783.62 = 244.82/x
  3. Step 3: Cross multiply
    522.84x = 783.62 × 244.82
  4. Step 4: Simplify right side
    522.84x = 191,845.85
  5. Step 5: Solve for x
    x = 191,845.85/522.84
  6. Step 6: Final answer
    x = 366.93

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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.