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Finding the Fourth Proportional to 594.27, 890.73 and 285.66

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Solution

The fourth proportional to 594.27, 890.73 and 285.66 is: 428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.27 : 890.73 = 285.66 : x
  2. Step 2: Convert to fraction form
    594.27/890.73 = 285.66/x
  3. Step 3: Cross multiply
    594.27x = 890.73 × 285.66
  4. Step 4: Simplify right side
    594.27x = 254,445.93
  5. Step 5: Solve for x
    x = 254,445.93/594.27
  6. Step 6: Final answer
    x = 428.17

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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.