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Finding the Fourth Proportional to 473.98, 708.86 and 370.06

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Solution

The fourth proportional to 473.98, 708.86 and 370.06 is: 553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.98 : 708.86 = 370.06 : x
  2. Step 2: Convert to fraction form
    473.98/708.86 = 370.06/x
  3. Step 3: Cross multiply
    473.98x = 708.86 × 370.06
  4. Step 4: Simplify right side
    473.98x = 262,320.73
  5. Step 5: Solve for x
    x = 262,320.73/473.98
  6. Step 6: Final answer
    x = 553.44

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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.