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Finding the Fourth Proportional to 583.65, 874.91 and 377.60

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Solution

The fourth proportional to 583.65, 874.91 and 377.60 is: 566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.65 : 874.91 = 377.60 : x
  2. Step 2: Convert to fraction form
    583.65/874.91 = 377.60/x
  3. Step 3: Cross multiply
    583.65x = 874.91 × 377.60
  4. Step 4: Simplify right side
    583.65x = 330,362.59
  5. Step 5: Solve for x
    x = 330,362.59/583.65
  6. Step 6: Final answer
    x = 566.03

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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.