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Finding the Fourth Proportional to 594.33, 890.67 and 472.98

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Solution

The fourth proportional to 594.33, 890.67 and 472.98 is: 708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.33 : 890.67 = 472.98 : x
  2. Step 2: Convert to fraction form
    594.33/890.67 = 472.98/x
  3. Step 3: Cross multiply
    594.33x = 890.67 × 472.98
  4. Step 4: Simplify right side
    594.33x = 421,269.10
  5. Step 5: Solve for x
    x = 421,269.10/594.33
  6. Step 6: Final answer
    x = 708.81

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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.