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Finding the Fourth Proportional to 655.96, 904.53 and 489.91

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Solution

The fourth proportional to 655.96, 904.53 and 489.91 is: 675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.96 : 904.53 = 489.91 : x
  2. Step 2: Convert to fraction form
    655.96/904.53 = 489.91/x
  3. Step 3: Cross multiply
    655.96x = 904.53 × 489.91
  4. Step 4: Simplify right side
    655.96x = 443,133.77
  5. Step 5: Solve for x
    x = 443,133.77/655.96
  6. Step 6: Final answer
    x = 675.56

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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.