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Finding the Fourth Proportional to 589.70, 814.60 and 460.40

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Solution

The fourth proportional to 589.70, 814.60 and 460.40 is: 635.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.70 : 814.60 = 460.40 : x
  2. Step 2: Convert to fraction form
    589.70/814.60 = 460.40/x
  3. Step 3: Cross multiply
    589.70x = 814.60 × 460.40
  4. Step 4: Simplify right side
    589.70x = 375,041.84
  5. Step 5: Solve for x
    x = 375,041.84/589.70
  6. Step 6: Final answer
    x = 635.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.