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Finding the Fourth Proportional to 398.58, 597.09 and 317.19

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Solution

The fourth proportional to 398.58, 597.09 and 317.19 is: 475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.58 : 597.09 = 317.19 : x
  2. Step 2: Convert to fraction form
    398.58/597.09 = 317.19/x
  3. Step 3: Cross multiply
    398.58x = 597.09 × 317.19
  4. Step 4: Simplify right side
    398.58x = 189,390.98
  5. Step 5: Solve for x
    x = 189,390.98/398.58
  6. Step 6: Final answer
    x = 475.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.