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Finding the Fourth Proportional to 594.95, 817.64 and 463.73

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Solution

The fourth proportional to 594.95, 817.64 and 463.73 is: 637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.95 : 817.64 = 463.73 : x
  2. Step 2: Convert to fraction form
    594.95/817.64 = 463.73/x
  3. Step 3: Cross multiply
    594.95x = 817.64 × 463.73
  4. Step 4: Simplify right side
    594.95x = 379,162.14
  5. Step 5: Solve for x
    x = 379,162.14/594.95
  6. Step 6: Final answer
    x = 637.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.