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Finding the Fourth Proportional to 489.97, 675.84 and 358.75

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Solution

The fourth proportional to 489.97, 675.84 and 358.75 is: 494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.97 : 675.84 = 358.75 : x
  2. Step 2: Convert to fraction form
    489.97/675.84 = 358.75/x
  3. Step 3: Cross multiply
    489.97x = 675.84 × 358.75
  4. Step 4: Simplify right side
    489.97x = 242,457.60
  5. Step 5: Solve for x
    x = 242,457.60/489.97
  6. Step 6: Final answer
    x = 494.84

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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.