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Finding the Fourth Proportional to 594.26, 890.46 and 286.10

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Solution

The fourth proportional to 594.26, 890.46 and 286.10 is: 428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.26 : 890.46 = 286.10 : x
  2. Step 2: Convert to fraction form
    594.26/890.46 = 286.10/x
  3. Step 3: Cross multiply
    594.26x = 890.46 × 286.10
  4. Step 4: Simplify right side
    594.26x = 254,760.61
  5. Step 5: Solve for x
    x = 254,760.61/594.26
  6. Step 6: Final answer
    x = 428.70

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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.