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Finding the Fourth Proportional to 457.79, 632.02 and 292.26

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Solution

The fourth proportional to 457.79, 632.02 and 292.26 is: 403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.79 : 632.02 = 292.26 : x
  2. Step 2: Convert to fraction form
    457.79/632.02 = 292.26/x
  3. Step 3: Cross multiply
    457.79x = 632.02 × 292.26
  4. Step 4: Simplify right side
    457.79x = 184,714.17
  5. Step 5: Solve for x
    x = 184,714.17/457.79
  6. Step 6: Final answer
    x = 403.49

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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.