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Finding the Fourth Proportional to 482.06, 723.82 and 473.42

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Solution

The fourth proportional to 482.06, 723.82 and 473.42 is: 710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.06 : 723.82 = 473.42 : x
  2. Step 2: Convert to fraction form
    482.06/723.82 = 473.42/x
  3. Step 3: Cross multiply
    482.06x = 723.82 × 473.42
  4. Step 4: Simplify right side
    482.06x = 342,670.86
  5. Step 5: Solve for x
    x = 342,670.86/482.06
  6. Step 6: Final answer
    x = 710.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.