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Finding the Fourth Proportional to 529.49, 793.55 and 494.93

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Solution

The fourth proportional to 529.49, 793.55 and 494.93 is: 741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.49 : 793.55 = 494.93 : x
  2. Step 2: Convert to fraction form
    529.49/793.55 = 494.93/x
  3. Step 3: Cross multiply
    529.49x = 793.55 × 494.93
  4. Step 4: Simplify right side
    529.49x = 392,745.26
  5. Step 5: Solve for x
    x = 392,745.26/529.49
  6. Step 6: Final answer
    x = 741.75

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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.