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Finding the Fourth Proportional to 495.42, 684.31 and 429.90

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Solution

The fourth proportional to 495.42, 684.31 and 429.90 is: 593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.42 : 684.31 = 429.90 : x
  2. Step 2: Convert to fraction form
    495.42/684.31 = 429.90/x
  3. Step 3: Cross multiply
    495.42x = 684.31 × 429.90
  4. Step 4: Simplify right side
    495.42x = 294,184.87
  5. Step 5: Solve for x
    x = 294,184.87/495.42
  6. Step 6: Final answer
    x = 593.81

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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.