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Finding the Fourth Proportional to 582.63, 803.99 and 320.63

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Solution

The fourth proportional to 582.63, 803.99 and 320.63 is: 442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.63 : 803.99 = 320.63 : x
  2. Step 2: Convert to fraction form
    582.63/803.99 = 320.63/x
  3. Step 3: Cross multiply
    582.63x = 803.99 × 320.63
  4. Step 4: Simplify right side
    582.63x = 257,780.10
  5. Step 5: Solve for x
    x = 257,780.10/582.63
  6. Step 6: Final answer
    x = 442.45

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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.