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Finding the Fourth Proportional to 581.94, 803.09 and 319.95

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Solution

The fourth proportional to 581.94, 803.09 and 319.95 is: 441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.94 : 803.09 = 319.95 : x
  2. Step 2: Convert to fraction form
    581.94/803.09 = 319.95/x
  3. Step 3: Cross multiply
    581.94x = 803.09 × 319.95
  4. Step 4: Simplify right side
    581.94x = 256,949.45
  5. Step 5: Solve for x
    x = 256,949.45/581.94
  6. Step 6: Final answer
    x = 441.54

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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.