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Finding the Fourth Proportional to 496.42, 684.70 and 307.30

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Solution

The fourth proportional to 496.42, 684.70 and 307.30 is: 423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.42 : 684.70 = 307.30 : x
  2. Step 2: Convert to fraction form
    496.42/684.70 = 307.30/x
  3. Step 3: Cross multiply
    496.42x = 684.70 × 307.30
  4. Step 4: Simplify right side
    496.42x = 210,413.06
  5. Step 5: Solve for x
    x = 210,413.06/496.42
  6. Step 6: Final answer
    x = 423.86

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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.