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Finding the Fourth Proportional to 603.23, 832.47 and 354.74

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Solution

The fourth proportional to 603.23, 832.47 and 354.74 is: 489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.23 : 832.47 = 354.74 : x
  2. Step 2: Convert to fraction form
    603.23/832.47 = 354.74/x
  3. Step 3: Cross multiply
    603.23x = 832.47 × 354.74
  4. Step 4: Simplify right side
    603.23x = 295,310.41
  5. Step 5: Solve for x
    x = 295,310.41/603.23
  6. Step 6: Final answer
    x = 489.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.