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Finding the Fourth Proportional to 448.64, 618.43 and 299.02

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Solution

The fourth proportional to 448.64, 618.43 and 299.02 is: 412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.64 : 618.43 = 299.02 : x
  2. Step 2: Convert to fraction form
    448.64/618.43 = 299.02/x
  3. Step 3: Cross multiply
    448.64x = 618.43 × 299.02
  4. Step 4: Simplify right side
    448.64x = 184,918.35
  5. Step 5: Solve for x
    x = 184,918.35/448.64
  6. Step 6: Final answer
    x = 412.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.