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Finding the Fourth Proportional to 583.90, 875.98 and 259.36

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Solution

The fourth proportional to 583.90, 875.98 and 259.36 is: 389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.90 : 875.98 = 259.36 : x
  2. Step 2: Convert to fraction form
    583.90/875.98 = 259.36/x
  3. Step 3: Cross multiply
    583.90x = 875.98 × 259.36
  4. Step 4: Simplify right side
    583.90x = 227,194.17
  5. Step 5: Solve for x
    x = 227,194.17/583.90
  6. Step 6: Final answer
    x = 389.10

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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.