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Finding the Fourth Proportional to 494.58, 740.26 and 364.53

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Solution

The fourth proportional to 494.58, 740.26 and 364.53 is: 545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.58 : 740.26 = 364.53 : x
  2. Step 2: Convert to fraction form
    494.58/740.26 = 364.53/x
  3. Step 3: Cross multiply
    494.58x = 740.26 × 364.53
  4. Step 4: Simplify right side
    494.58x = 269,841.91
  5. Step 5: Solve for x
    x = 269,841.91/494.58
  6. Step 6: Final answer
    x = 545.60

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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.