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Finding the Fourth Proportional to 556.35, 766.00 and 489.91

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Solution

The fourth proportional to 556.35, 766.00 and 489.91 is: 674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.35 : 766.00 = 489.91 : x
  2. Step 2: Convert to fraction form
    556.35/766.00 = 489.91/x
  3. Step 3: Cross multiply
    556.35x = 766.00 × 489.91
  4. Step 4: Simplify right side
    556.35x = 375,268.61
  5. Step 5: Solve for x
    x = 375,268.61/556.35
  6. Step 6: Final answer
    x = 674.52

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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.