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Finding the Fourth Proportional to 583.70, 875.55 and 259.10

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Solution

The fourth proportional to 583.70, 875.55 and 259.10 is: 388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 875.55 = 259.10 : x
  2. Step 2: Convert to fraction form
    583.70/875.55 = 259.10/x
  3. Step 3: Cross multiply
    583.70x = 875.55 × 259.10
  4. Step 4: Simplify right side
    583.70x = 226,850.63
  5. Step 5: Solve for x
    x = 226,850.63/583.70
  6. Step 6: Final answer
    x = 388.64

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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.