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Finding the Fourth Proportional to 478.68, 718.14 and 190.14

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Solution

The fourth proportional to 478.68, 718.14 and 190.14 is: 285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.68 : 718.14 = 190.14 : x
  2. Step 2: Convert to fraction form
    478.68/718.14 = 190.14/x
  3. Step 3: Cross multiply
    478.68x = 718.14 × 190.14
  4. Step 4: Simplify right side
    478.68x = 136,547.14
  5. Step 5: Solve for x
    x = 136,547.14/478.68
  6. Step 6: Final answer
    x = 285.26

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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.