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Finding the Fourth Proportional to 582.44, 802.95 and 493.56

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Solution

The fourth proportional to 582.44, 802.95 and 493.56 is: 680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.44 : 802.95 = 493.56 : x
  2. Step 2: Convert to fraction form
    582.44/802.95 = 493.56/x
  3. Step 3: Cross multiply
    582.44x = 802.95 × 493.56
  4. Step 4: Simplify right side
    582.44x = 396,302.15
  5. Step 5: Solve for x
    x = 396,302.15/582.44
  6. Step 6: Final answer
    x = 680.42

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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.