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Finding the Fourth Proportional to 497.10, 684.53 and 427.04

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Solution

The fourth proportional to 497.10, 684.53 and 427.04 is: 588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.10 : 684.53 = 427.04 : x
  2. Step 2: Convert to fraction form
    497.10/684.53 = 427.04/x
  3. Step 3: Cross multiply
    497.10x = 684.53 × 427.04
  4. Step 4: Simplify right side
    497.10x = 292,318.27
  5. Step 5: Solve for x
    x = 292,318.27/497.10
  6. Step 6: Final answer
    x = 588.05

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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.