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Finding the Fourth Proportional to 448.64, 672.64 and 302.03

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Solution

The fourth proportional to 448.64, 672.64 and 302.03 is: 452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.64 : 672.64 = 302.03 : x
  2. Step 2: Convert to fraction form
    448.64/672.64 = 302.03/x
  3. Step 3: Cross multiply
    448.64x = 672.64 × 302.03
  4. Step 4: Simplify right side
    448.64x = 203,155.86
  5. Step 5: Solve for x
    x = 203,155.86/448.64
  6. Step 6: Final answer
    x = 452.83

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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.