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Finding the Fourth Proportional to 584.91, 876.83 and 260.01

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Solution

The fourth proportional to 584.91, 876.83 and 260.01 is: 389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.91 : 876.83 = 260.01 : x
  2. Step 2: Convert to fraction form
    584.91/876.83 = 260.01/x
  3. Step 3: Cross multiply
    584.91x = 876.83 × 260.01
  4. Step 4: Simplify right side
    584.91x = 227,983.27
  5. Step 5: Solve for x
    x = 227,983.27/584.91
  6. Step 6: Final answer
    x = 389.77

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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.