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Finding the Fourth Proportional to 489.42, 675.42 and 302.88

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Solution

The fourth proportional to 489.42, 675.42 and 302.88 is: 417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.42 : 675.42 = 302.88 : x
  2. Step 2: Convert to fraction form
    489.42/675.42 = 302.88/x
  3. Step 3: Cross multiply
    489.42x = 675.42 × 302.88
  4. Step 4: Simplify right side
    489.42x = 204,571.21
  5. Step 5: Solve for x
    x = 204,571.21/489.42
  6. Step 6: Final answer
    x = 417.99

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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.