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Finding the Fourth Proportional to 458.94, 633.11 and 292.98

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Solution

The fourth proportional to 458.94, 633.11 and 292.98 is: 404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.94 : 633.11 = 292.98 : x
  2. Step 2: Convert to fraction form
    458.94/633.11 = 292.98/x
  3. Step 3: Cross multiply
    458.94x = 633.11 × 292.98
  4. Step 4: Simplify right side
    458.94x = 185,487.10
  5. Step 5: Solve for x
    x = 185,487.10/458.94
  6. Step 6: Final answer
    x = 404.16

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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.