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Finding the Fourth Proportional to 583.40, 873.36 and 377.36

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Solution

The fourth proportional to 583.40, 873.36 and 377.36 is: 564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.40 : 873.36 = 377.36 : x
  2. Step 2: Convert to fraction form
    583.40/873.36 = 377.36/x
  3. Step 3: Cross multiply
    583.40x = 873.36 × 377.36
  4. Step 4: Simplify right side
    583.40x = 329,571.13
  5. Step 5: Solve for x
    x = 329,571.13/583.40
  6. Step 6: Final answer
    x = 564.91

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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.