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Finding the Fourth Proportional to 594.02, 890.73 and 456.73

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Solution

The fourth proportional to 594.02, 890.73 and 456.73 is: 684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.02 : 890.73 = 456.73 : x
  2. Step 2: Convert to fraction form
    594.02/890.73 = 456.73/x
  3. Step 3: Cross multiply
    594.02x = 890.73 × 456.73
  4. Step 4: Simplify right side
    594.02x = 406,823.11
  5. Step 5: Solve for x
    x = 406,823.11/594.02
  6. Step 6: Final answer
    x = 684.86

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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.