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Finding the Fourth Proportional to 582.14, 803.34 and 320.15

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Solution

The fourth proportional to 582.14, 803.34 and 320.15 is: 441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.14 : 803.34 = 320.15 : x
  2. Step 2: Convert to fraction form
    582.14/803.34 = 320.15/x
  3. Step 3: Cross multiply
    582.14x = 803.34 × 320.15
  4. Step 4: Simplify right side
    582.14x = 257,189.30
  5. Step 5: Solve for x
    x = 257,189.30/582.14
  6. Step 6: Final answer
    x = 441.80

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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.