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Finding the Fourth Proportional to 582.23, 803.22 and 493.33

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Solution

The fourth proportional to 582.23, 803.22 and 493.33 is: 680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.23 : 803.22 = 493.33 : x
  2. Step 2: Convert to fraction form
    582.23/803.22 = 493.33/x
  3. Step 3: Cross multiply
    582.23x = 803.22 × 493.33
  4. Step 4: Simplify right side
    582.23x = 396,248.51
  5. Step 5: Solve for x
    x = 396,248.51/582.23
  6. Step 6: Final answer
    x = 680.58

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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.