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Finding the Fourth Proportional to 473.10, 708.66 and 395.84

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Solution

The fourth proportional to 473.10, 708.66 and 395.84 is: 592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.10 : 708.66 = 395.84 : x
  2. Step 2: Convert to fraction form
    473.10/708.66 = 395.84/x
  3. Step 3: Cross multiply
    473.10x = 708.66 × 395.84
  4. Step 4: Simplify right side
    473.10x = 280,515.97
  5. Step 5: Solve for x
    x = 280,515.97/473.10
  6. Step 6: Final answer
    x = 592.93

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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.