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Finding the Fourth Proportional to 553.42, 829.95 and 358.63

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Solution

The fourth proportional to 553.42, 829.95 and 358.63 is: 537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.42 : 829.95 = 358.63 : x
  2. Step 2: Convert to fraction form
    553.42/829.95 = 358.63/x
  3. Step 3: Cross multiply
    553.42x = 829.95 × 358.63
  4. Step 4: Simplify right side
    553.42x = 297,644.97
  5. Step 5: Solve for x
    x = 297,644.97/553.42
  6. Step 6: Final answer
    x = 537.83

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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.