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Finding the Fourth Proportional to 592.32, 816.48 and 494

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Solution

The fourth proportional to 592.32, 816.48 and 494 is: 680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.32 : 816.48 = 494 : x
  2. Step 2: Convert to fraction form
    592.32/816.48 = 494/x
  3. Step 3: Cross multiply
    592.32x = 816.48 × 494
  4. Step 4: Simplify right side
    592.32x = 403,341.12
  5. Step 5: Solve for x
    x = 403,341.12/592.32
  6. Step 6: Final answer
    x = 680.95

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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.