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Finding the Fourth Proportional to 582.23, 803.49 and 320.26

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Solution

The fourth proportional to 582.23, 803.49 and 320.26 is: 441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.23 : 803.49 = 320.26 : x
  2. Step 2: Convert to fraction form
    582.23/803.49 = 320.26/x
  3. Step 3: Cross multiply
    582.23x = 803.49 × 320.26
  4. Step 4: Simplify right side
    582.23x = 257,325.71
  5. Step 5: Solve for x
    x = 257,325.71/582.23
  6. Step 6: Final answer
    x = 441.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.