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Finding the Fourth Proportional to 584.47, 876.75 and 259.75

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Solution

The fourth proportional to 584.47, 876.75 and 259.75 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.47 : 876.75 = 259.75 : x
  2. Step 2: Convert to fraction form
    584.47/876.75 = 259.75/x
  3. Step 3: Cross multiply
    584.47x = 876.75 × 259.75
  4. Step 4: Simplify right side
    584.47x = 227,735.81
  5. Step 5: Solve for x
    x = 227,735.81/584.47
  6. Step 6: Final answer
    x = 389.64

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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.