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Finding the Fourth Proportional to 473.16, 708.79 and 369.93

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Solution

The fourth proportional to 473.16, 708.79 and 369.93 is: 554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.16 : 708.79 = 369.93 : x
  2. Step 2: Convert to fraction form
    473.16/708.79 = 369.93/x
  3. Step 3: Cross multiply
    473.16x = 708.79 × 369.93
  4. Step 4: Simplify right side
    473.16x = 262,202.68
  5. Step 5: Solve for x
    x = 262,202.68/473.16
  6. Step 6: Final answer
    x = 554.15

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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.