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Finding the Fourth Proportional to 582.30, 803.58 and 320.34

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Solution

The fourth proportional to 582.30, 803.58 and 320.34 is: 442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.30 : 803.58 = 320.34 : x
  2. Step 2: Convert to fraction form
    582.30/803.58 = 320.34/x
  3. Step 3: Cross multiply
    582.30x = 803.58 × 320.34
  4. Step 4: Simplify right side
    582.30x = 257,418.82
  5. Step 5: Solve for x
    x = 257,418.82/582.30
  6. Step 6: Final answer
    x = 442.07

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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.