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Finding the Fourth Proportional to 455.92, 628.84 and 290.16

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Solution

The fourth proportional to 455.92, 628.84 and 290.16 is: 400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.92 : 628.84 = 290.16 : x
  2. Step 2: Convert to fraction form
    455.92/628.84 = 290.16/x
  3. Step 3: Cross multiply
    455.92x = 628.84 × 290.16
  4. Step 4: Simplify right side
    455.92x = 182,464.21
  5. Step 5: Solve for x
    x = 182,464.21/455.92
  6. Step 6: Final answer
    x = 400.21

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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.