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Finding the Fourth Proportional to 448.74, 673.38 and 432.54

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Solution

The fourth proportional to 448.74, 673.38 and 432.54 is: 649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.74 : 673.38 = 432.54 : x
  2. Step 2: Convert to fraction form
    448.74/673.38 = 432.54/x
  3. Step 3: Cross multiply
    448.74x = 673.38 × 432.54
  4. Step 4: Simplify right side
    448.74x = 291,263.79
  5. Step 5: Solve for x
    x = 291,263.79/448.74
  6. Step 6: Final answer
    x = 649.07

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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.