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Finding the Fourth Proportional to 434.61, 599.22 and 317.97

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Solution

The fourth proportional to 434.61, 599.22 and 317.97 is: 438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.61 : 599.22 = 317.97 : x
  2. Step 2: Convert to fraction form
    434.61/599.22 = 317.97/x
  3. Step 3: Cross multiply
    434.61x = 599.22 × 317.97
  4. Step 4: Simplify right side
    434.61x = 190,533.98
  5. Step 5: Solve for x
    x = 190,533.98/434.61
  6. Step 6: Final answer
    x = 438.40

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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.