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Finding the Fourth Proportional to 478.60, 718.16 and 259.22

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Solution

The fourth proportional to 478.60, 718.16 and 259.22 is: 388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.60 : 718.16 = 259.22 : x
  2. Step 2: Convert to fraction form
    478.60/718.16 = 259.22/x
  3. Step 3: Cross multiply
    478.60x = 718.16 × 259.22
  4. Step 4: Simplify right side
    478.60x = 186,163.88
  5. Step 5: Solve for x
    x = 186,163.88/478.60
  6. Step 6: Final answer
    x = 388.98

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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.