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Finding the Fourth Proportional to 583.63, 876.05 and 259.23

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Solution

The fourth proportional to 583.63, 876.05 and 259.23 is: 389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.63 : 876.05 = 259.23 : x
  2. Step 2: Convert to fraction form
    583.63/876.05 = 259.23/x
  3. Step 3: Cross multiply
    583.63x = 876.05 × 259.23
  4. Step 4: Simplify right side
    583.63x = 227,094.06
  5. Step 5: Solve for x
    x = 227,094.06/583.63
  6. Step 6: Final answer
    x = 389.11

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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.