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Finding the Fourth Proportional to 583.53, 875.85 and 259.17

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Solution

The fourth proportional to 583.53, 875.85 and 259.17 is: 389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.53 : 875.85 = 259.17 : x
  2. Step 2: Convert to fraction form
    583.53/875.85 = 259.17/x
  3. Step 3: Cross multiply
    583.53x = 875.85 × 259.17
  4. Step 4: Simplify right side
    583.53x = 226,994.04
  5. Step 5: Solve for x
    x = 226,994.04/583.53
  6. Step 6: Final answer
    x = 389.00

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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.