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Finding the Fourth Proportional to 594.15, 891.21 and 464.26

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Solution

The fourth proportional to 594.15, 891.21 and 464.26 is: 696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.15 : 891.21 = 464.26 : x
  2. Step 2: Convert to fraction form
    594.15/891.21 = 464.26/x
  3. Step 3: Cross multiply
    594.15x = 891.21 × 464.26
  4. Step 4: Simplify right side
    594.15x = 413,753.15
  5. Step 5: Solve for x
    x = 413,753.15/594.15
  6. Step 6: Final answer
    x = 696.38

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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.