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Finding the Fourth Proportional to 817.08, 1,225.26 and 304.08

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Solution

The fourth proportional to 817.08, 1,225.26 and 304.08 is: 455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.08 : 1,225.26 = 304.08 : x
  2. Step 2: Convert to fraction form
    817.08/1,225.26 = 304.08/x
  3. Step 3: Cross multiply
    817.08x = 1,225.26 × 304.08
  4. Step 4: Simplify right side
    817.08x = 372,577.06
  5. Step 5: Solve for x
    x = 372,577.06/817.08
  6. Step 6: Final answer
    x = 455.99

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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.