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Finding the Fourth Proportional to 489.48, 675.57 and 293.01

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Solution

The fourth proportional to 489.48, 675.57 and 293.01 is: 404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.48 : 675.57 = 293.01 : x
  2. Step 2: Convert to fraction form
    489.48/675.57 = 293.01/x
  3. Step 3: Cross multiply
    489.48x = 675.57 × 293.01
  4. Step 4: Simplify right side
    489.48x = 197,948.77
  5. Step 5: Solve for x
    x = 197,948.77/489.48
  6. Step 6: Final answer
    x = 404.41

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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.