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Finding the Fourth Proportional to 553.89, 829.62 and 345.71

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Solution

The fourth proportional to 553.89, 829.62 and 345.71 is: 517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.89 : 829.62 = 345.71 : x
  2. Step 2: Convert to fraction form
    553.89/829.62 = 345.71/x
  3. Step 3: Cross multiply
    553.89x = 829.62 × 345.71
  4. Step 4: Simplify right side
    553.89x = 286,803.78
  5. Step 5: Solve for x
    x = 286,803.78/553.89
  6. Step 6: Final answer
    x = 517.80

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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.