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Finding the Fourth Proportional to 585.36, 877.26 and 276.80

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Solution

The fourth proportional to 585.36, 877.26 and 276.80 is: 414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.36 : 877.26 = 276.80 : x
  2. Step 2: Convert to fraction form
    585.36/877.26 = 276.80/x
  3. Step 3: Cross multiply
    585.36x = 877.26 × 276.80
  4. Step 4: Simplify right side
    585.36x = 242,821.18
  5. Step 5: Solve for x
    x = 242,821.18/585.36
  6. Step 6: Final answer
    x = 414.82

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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.