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Finding the Fourth Proportional to 489.60, 674.73 and 365.13

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Solution

The fourth proportional to 489.60, 674.73 and 365.13 is: 503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.60 : 674.73 = 365.13 : x
  2. Step 2: Convert to fraction form
    489.60/674.73 = 365.13/x
  3. Step 3: Cross multiply
    489.60x = 674.73 × 365.13
  4. Step 4: Simplify right side
    489.60x = 246,364.16
  5. Step 5: Solve for x
    x = 246,364.16/489.60
  6. Step 6: Final answer
    x = 503.19

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