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Finding the Fourth Proportional to 582.55, 803.91 and 320.56

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Solution

The fourth proportional to 582.55, 803.91 and 320.56 is: 442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.55 : 803.91 = 320.56 : x
  2. Step 2: Convert to fraction form
    582.55/803.91 = 320.56/x
  3. Step 3: Cross multiply
    582.55x = 803.91 × 320.56
  4. Step 4: Simplify right side
    582.55x = 257,701.39
  5. Step 5: Solve for x
    x = 257,701.39/582.55
  6. Step 6: Final answer
    x = 442.37

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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.