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Finding the Fourth Proportional to 582.47, 803.81 and 320.48

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Solution

The fourth proportional to 582.47, 803.81 and 320.48 is: 442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.47 : 803.81 = 320.48 : x
  2. Step 2: Convert to fraction form
    582.47/803.81 = 320.48/x
  3. Step 3: Cross multiply
    582.47x = 803.81 × 320.48
  4. Step 4: Simplify right side
    582.47x = 257,605.44
  5. Step 5: Solve for x
    x = 257,605.44/582.47
  6. Step 6: Final answer
    x = 442.26

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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.