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Finding the Fourth Proportional to 506.81, 699.40 and 296.93

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Solution

The fourth proportional to 506.81, 699.40 and 296.93 is: 409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.81 : 699.40 = 296.93 : x
  2. Step 2: Convert to fraction form
    506.81/699.40 = 296.93/x
  3. Step 3: Cross multiply
    506.81x = 699.40 × 296.93
  4. Step 4: Simplify right side
    506.81x = 207,674.96
  5. Step 5: Solve for x
    x = 207,674.96/506.81
  6. Step 6: Final answer
    x = 409.77

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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.