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Finding the Fourth Proportional to 584.36, 876.17 and 276.35

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Solution

The fourth proportional to 584.36, 876.17 and 276.35 is: 414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.36 : 876.17 = 276.35 : x
  2. Step 2: Convert to fraction form
    584.36/876.17 = 276.35/x
  3. Step 3: Cross multiply
    584.36x = 876.17 × 276.35
  4. Step 4: Simplify right side
    584.36x = 242,128.20
  5. Step 5: Solve for x
    x = 242,128.20/584.36
  6. Step 6: Final answer
    x = 414.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.