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Finding the Fourth Proportional to 594.31, 818.90 and 505.48

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Solution

The fourth proportional to 594.31, 818.90 and 505.48 is: 696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.31 : 818.90 = 505.48 : x
  2. Step 2: Convert to fraction form
    594.31/818.90 = 505.48/x
  3. Step 3: Cross multiply
    594.31x = 818.90 × 505.48
  4. Step 4: Simplify right side
    594.31x = 413,933.48
  5. Step 5: Solve for x
    x = 413,933.48/594.31
  6. Step 6: Final answer
    x = 696.50

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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.