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Finding the Fourth Proportional to 317.79, 437.88 and 301.32

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Solution

The fourth proportional to 317.79, 437.88 and 301.32 is: 415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.79 : 437.88 = 301.32 : x
  2. Step 2: Convert to fraction form
    317.79/437.88 = 301.32/x
  3. Step 3: Cross multiply
    317.79x = 437.88 × 301.32
  4. Step 4: Simplify right side
    317.79x = 131,942.00
  5. Step 5: Solve for x
    x = 131,942.00/317.79
  6. Step 6: Final answer
    x = 415.19

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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.