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Finding the Fourth Proportional to 434.97, 599.70 and 317.12

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Solution

The fourth proportional to 434.97, 599.70 and 317.12 is: 437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.97 : 599.70 = 317.12 : x
  2. Step 2: Convert to fraction form
    434.97/599.70 = 317.12/x
  3. Step 3: Cross multiply
    434.97x = 599.70 × 317.12
  4. Step 4: Simplify right side
    434.97x = 190,175.05
  5. Step 5: Solve for x
    x = 190,175.05/434.97
  6. Step 6: Final answer
    x = 437.21

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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.