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Finding the Fourth Proportional to 422.64, 633.84 and 260.16

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Solution

The fourth proportional to 422.64, 633.84 and 260.16 is: 390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.64 : 633.84 = 260.16 : x
  2. Step 2: Convert to fraction form
    422.64/633.84 = 260.16/x
  3. Step 3: Cross multiply
    422.64x = 633.84 × 260.16
  4. Step 4: Simplify right side
    422.64x = 164,899.81
  5. Step 5: Solve for x
    x = 164,899.81/422.64
  6. Step 6: Final answer
    x = 390.17

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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.