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Finding the Fourth Proportional to 580.65, 870.26 and 287.84

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Solution

The fourth proportional to 580.65, 870.26 and 287.84 is: 431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.65 : 870.26 = 287.84 : x
  2. Step 2: Convert to fraction form
    580.65/870.26 = 287.84/x
  3. Step 3: Cross multiply
    580.65x = 870.26 × 287.84
  4. Step 4: Simplify right side
    580.65x = 250,489.85
  5. Step 5: Solve for x
    x = 250,489.85/580.65
  6. Step 6: Final answer
    x = 431.40

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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.