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Finding the Fourth Proportional to 506.80, 760.18 and 232.81

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Solution

The fourth proportional to 506.80, 760.18 and 232.81 is: 349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.80 : 760.18 = 232.81 : x
  2. Step 2: Convert to fraction form
    506.80/760.18 = 232.81/x
  3. Step 3: Cross multiply
    506.80x = 760.18 × 232.81
  4. Step 4: Simplify right side
    506.80x = 176,977.51
  5. Step 5: Solve for x
    x = 176,977.51/506.80
  6. Step 6: Final answer
    x = 349.21

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.