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Finding the Fourth Proportional to 581.36, 873.68 and 438.80

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Solution

The fourth proportional to 581.36, 873.68 and 438.80 is: 659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.36 : 873.68 = 438.80 : x
  2. Step 2: Convert to fraction form
    581.36/873.68 = 438.80/x
  3. Step 3: Cross multiply
    581.36x = 873.68 × 438.80
  4. Step 4: Simplify right side
    581.36x = 383,364.22
  5. Step 5: Solve for x
    x = 383,364.22/581.36
  6. Step 6: Final answer
    x = 659.43

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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.