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Finding the Fourth Proportional to 458.90, 633.16 and 293.04

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Solution

The fourth proportional to 458.90, 633.16 and 293.04 is: 404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.90 : 633.16 = 293.04 : x
  2. Step 2: Convert to fraction form
    458.90/633.16 = 293.04/x
  3. Step 3: Cross multiply
    458.90x = 633.16 × 293.04
  4. Step 4: Simplify right side
    458.90x = 185,541.21
  5. Step 5: Solve for x
    x = 185,541.21/458.90
  6. Step 6: Final answer
    x = 404.32

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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.