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Finding the Fourth Proportional to 566.95, 850.55 and 258.84

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Solution

The fourth proportional to 566.95, 850.55 and 258.84 is: 388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.95 : 850.55 = 258.84 : x
  2. Step 2: Convert to fraction form
    566.95/850.55 = 258.84/x
  3. Step 3: Cross multiply
    566.95x = 850.55 × 258.84
  4. Step 4: Simplify right side
    566.95x = 220,156.36
  5. Step 5: Solve for x
    x = 220,156.36/566.95
  6. Step 6: Final answer
    x = 388.32

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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.