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Finding the Fourth Proportional to 448.72, 673.28 and 284.16

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Solution

The fourth proportional to 448.72, 673.28 and 284.16 is: 426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.72 : 673.28 = 284.16 : x
  2. Step 2: Convert to fraction form
    448.72/673.28 = 284.16/x
  3. Step 3: Cross multiply
    448.72x = 673.28 × 284.16
  4. Step 4: Simplify right side
    448.72x = 191,319.24
  5. Step 5: Solve for x
    x = 191,319.24/448.72
  6. Step 6: Final answer
    x = 426.37

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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.