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Finding the Fourth Proportional to 448.53, 670.96 and 318.52

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Solution

The fourth proportional to 448.53, 670.96 and 318.52 is: 476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.53 : 670.96 = 318.52 : x
  2. Step 2: Convert to fraction form
    448.53/670.96 = 318.52/x
  3. Step 3: Cross multiply
    448.53x = 670.96 × 318.52
  4. Step 4: Simplify right side
    448.53x = 213,714.18
  5. Step 5: Solve for x
    x = 213,714.18/448.53
  6. Step 6: Final answer
    x = 476.48

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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.