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Finding the Fourth Proportional to 489.02, 674.91 and 302.57

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Solution

The fourth proportional to 489.02, 674.91 and 302.57 is: 417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.02 : 674.91 = 302.57 : x
  2. Step 2: Convert to fraction form
    489.02/674.91 = 302.57/x
  3. Step 3: Cross multiply
    489.02x = 674.91 × 302.57
  4. Step 4: Simplify right side
    489.02x = 204,204.14
  5. Step 5: Solve for x
    x = 204,204.14/489.02
  6. Step 6: Final answer
    x = 417.58

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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.