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Finding the Fourth Proportional to 350.13, 522.71 and 289.38

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Solution

The fourth proportional to 350.13, 522.71 and 289.38 is: 432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.13 : 522.71 = 289.38 : x
  2. Step 2: Convert to fraction form
    350.13/522.71 = 289.38/x
  3. Step 3: Cross multiply
    350.13x = 522.71 × 289.38
  4. Step 4: Simplify right side
    350.13x = 151,260.37
  5. Step 5: Solve for x
    x = 151,260.37/350.13
  6. Step 6: Final answer
    x = 432.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.