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Finding the Fourth Proportional to 817.64, 1,226.40 and 304.28

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Solution

The fourth proportional to 817.64, 1,226.40 and 304.28 is: 456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.64 : 1,226.40 = 304.28 : x
  2. Step 2: Convert to fraction form
    817.64/1,226.40 = 304.28/x
  3. Step 3: Cross multiply
    817.64x = 1,226.40 × 304.28
  4. Step 4: Simplify right side
    817.64x = 373,168.99
  5. Step 5: Solve for x
    x = 373,168.99/817.64
  6. Step 6: Final answer
    x = 456.40

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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.