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Finding the Fourth Proportional to 577.84, 866.79 and 348.21

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Solution

The fourth proportional to 577.84, 866.79 and 348.21 is: 522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.84 : 866.79 = 348.21 : x
  2. Step 2: Convert to fraction form
    577.84/866.79 = 348.21/x
  3. Step 3: Cross multiply
    577.84x = 866.79 × 348.21
  4. Step 4: Simplify right side
    577.84x = 301,824.95
  5. Step 5: Solve for x
    x = 301,824.95/577.84
  6. Step 6: Final answer
    x = 522.33

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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.