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Finding the Fourth Proportional to 594.77, 818.92 and 506.08

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Solution

The fourth proportional to 594.77, 818.92 and 506.08 is: 696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.77 : 818.92 = 506.08 : x
  2. Step 2: Convert to fraction form
    594.77/818.92 = 506.08/x
  3. Step 3: Cross multiply
    594.77x = 818.92 × 506.08
  4. Step 4: Simplify right side
    594.77x = 414,439.03
  5. Step 5: Solve for x
    x = 414,439.03/594.77
  6. Step 6: Final answer
    x = 696.81

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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.