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Finding the Fourth Proportional to 489.16, 675.33 and 312.22

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Solution

The fourth proportional to 489.16, 675.33 and 312.22 is: 431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.16 : 675.33 = 312.22 : x
  2. Step 2: Convert to fraction form
    489.16/675.33 = 312.22/x
  3. Step 3: Cross multiply
    489.16x = 675.33 × 312.22
  4. Step 4: Simplify right side
    489.16x = 210,851.53
  5. Step 5: Solve for x
    x = 210,851.53/489.16
  6. Step 6: Final answer
    x = 431.05

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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.