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Finding the Fourth Proportional to 578.84, 868.48 and 347.89

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Solution

The fourth proportional to 578.84, 868.48 and 347.89 is: 521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.84 : 868.48 = 347.89 : x
  2. Step 2: Convert to fraction form
    578.84/868.48 = 347.89/x
  3. Step 3: Cross multiply
    578.84x = 868.48 × 347.89
  4. Step 4: Simplify right side
    578.84x = 302,135.51
  5. Step 5: Solve for x
    x = 302,135.51/578.84
  6. Step 6: Final answer
    x = 521.97

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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.