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Finding the Fourth Proportional to 623.05, 932.77 and 362.26

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Solution

The fourth proportional to 623.05, 932.77 and 362.26 is: 542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.05 : 932.77 = 362.26 : x
  2. Step 2: Convert to fraction form
    623.05/932.77 = 362.26/x
  3. Step 3: Cross multiply
    623.05x = 932.77 × 362.26
  4. Step 4: Simplify right side
    623.05x = 337,902.02
  5. Step 5: Solve for x
    x = 337,902.02/623.05
  6. Step 6: Final answer
    x = 542.33

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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.