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Finding the Fourth Proportional to 580.83, 870.94 and 333.99

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Solution

The fourth proportional to 580.83, 870.94 and 333.99 is: 500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.83 : 870.94 = 333.99 : x
  2. Step 2: Convert to fraction form
    580.83/870.94 = 333.99/x
  3. Step 3: Cross multiply
    580.83x = 870.94 × 333.99
  4. Step 4: Simplify right side
    580.83x = 290,882.40
  5. Step 5: Solve for x
    x = 290,882.40/580.83
  6. Step 6: Final answer
    x = 500.80

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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.