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Finding the Fourth Proportional to 440.64, 659.58 and 302.88

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Solution

The fourth proportional to 440.64, 659.58 and 302.88 is: 453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.64 : 659.58 = 302.88 : x
  2. Step 2: Convert to fraction form
    440.64/659.58 = 302.88/x
  3. Step 3: Cross multiply
    440.64x = 659.58 × 302.88
  4. Step 4: Simplify right side
    440.64x = 199,773.59
  5. Step 5: Solve for x
    x = 199,773.59/440.64
  6. Step 6: Final answer
    x = 453.37

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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.