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Finding the Fourth Proportional to 422.68, 583.32 and 319

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Solution

The fourth proportional to 422.68, 583.32 and 319 is: 440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.68 : 583.32 = 319 : x
  2. Step 2: Convert to fraction form
    422.68/583.32 = 319/x
  3. Step 3: Cross multiply
    422.68x = 583.32 × 319
  4. Step 4: Simplify right side
    422.68x = 186,079.08
  5. Step 5: Solve for x
    x = 186,079.08/422.68
  6. Step 6: Final answer
    x = 440.24

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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.