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Finding the Fourth Proportional to 592.85, 815.54 and 482.09

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Solution

The fourth proportional to 592.85, 815.54 and 482.09 is: 663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.85 : 815.54 = 482.09 : x
  2. Step 2: Convert to fraction form
    592.85/815.54 = 482.09/x
  3. Step 3: Cross multiply
    592.85x = 815.54 × 482.09
  4. Step 4: Simplify right side
    592.85x = 393,157.19
  5. Step 5: Solve for x
    x = 393,157.19/592.85
  6. Step 6: Final answer
    x = 663.16

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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.