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Finding the Fourth Proportional to 448.16, 618.44 and 290.72

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Solution

The fourth proportional to 448.16, 618.44 and 290.72 is: 401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.16 : 618.44 = 290.72 : x
  2. Step 2: Convert to fraction form
    448.16/618.44 = 290.72/x
  3. Step 3: Cross multiply
    448.16x = 618.44 × 290.72
  4. Step 4: Simplify right side
    448.16x = 179,792.88
  5. Step 5: Solve for x
    x = 179,792.88/448.16
  6. Step 6: Final answer
    x = 401.18

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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.