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Finding the Fourth Proportional to 457.89, 632.07 and 292.25

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Solution

The fourth proportional to 457.89, 632.07 and 292.25 is: 403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.89 : 632.07 = 292.25 : x
  2. Step 2: Convert to fraction form
    457.89/632.07 = 292.25/x
  3. Step 3: Cross multiply
    457.89x = 632.07 × 292.25
  4. Step 4: Simplify right side
    457.89x = 184,719.30
  5. Step 5: Solve for x
    x = 184,719.30/457.89
  6. Step 6: Final answer
    x = 403.41

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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.