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Finding the Fourth Proportional to 317.61, 437.94 and 255.24

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Solution

The fourth proportional to 317.61, 437.94 and 255.24 is: 351.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.61 : 437.94 = 255.24 : x
  2. Step 2: Convert to fraction form
    317.61/437.94 = 255.24/x
  3. Step 3: Cross multiply
    317.61x = 437.94 × 255.24
  4. Step 4: Simplify right side
    317.61x = 111,779.81
  5. Step 5: Solve for x
    x = 111,779.81/317.61
  6. Step 6: Final answer
    x = 351.94

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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.