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Finding the Fourth Proportional to 583.40, 859.07 and 583.40

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Solution

The fourth proportional to 583.40, 859.07 and 583.40 is: 859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.40 : 859.07 = 583.40 : x
  2. Step 2: Convert to fraction form
    583.40/859.07 = 583.40/x
  3. Step 3: Cross multiply
    583.40x = 859.07 × 583.40
  4. Step 4: Simplify right side
    583.40x = 501,181.44
  5. Step 5: Solve for x
    x = 501,181.44/583.40
  6. Step 6: Final answer
    x = 859.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.