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Finding the Fourth Proportional to 553.13, 829.13 and 347.84

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Solution

The fourth proportional to 553.13, 829.13 and 347.84 is: 521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.13 : 829.13 = 347.84 : x
  2. Step 2: Convert to fraction form
    553.13/829.13 = 347.84/x
  3. Step 3: Cross multiply
    553.13x = 829.13 × 347.84
  4. Step 4: Simplify right side
    553.13x = 288,404.58
  5. Step 5: Solve for x
    x = 288,404.58/553.13
  6. Step 6: Final answer
    x = 521.40

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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.