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Finding the Fourth Proportional to 473.23, 708.89 and 375.89

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Solution

The fourth proportional to 473.23, 708.89 and 375.89 is: 563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.23 : 708.89 = 375.89 : x
  2. Step 2: Convert to fraction form
    473.23/708.89 = 375.89/x
  3. Step 3: Cross multiply
    473.23x = 708.89 × 375.89
  4. Step 4: Simplify right side
    473.23x = 266,467.37
  5. Step 5: Solve for x
    x = 266,467.37/473.23
  6. Step 6: Final answer
    x = 563.09

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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.