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Finding the Fourth Proportional to 588.01, 811.61 and 366.83

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Solution

The fourth proportional to 588.01, 811.61 and 366.83 is: 506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.01 : 811.61 = 366.83 : x
  2. Step 2: Convert to fraction form
    588.01/811.61 = 366.83/x
  3. Step 3: Cross multiply
    588.01x = 811.61 × 366.83
  4. Step 4: Simplify right side
    588.01x = 297,721.78
  5. Step 5: Solve for x
    x = 297,721.78/588.01
  6. Step 6: Final answer
    x = 506.32

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1.5x scale

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.