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Finding the Fourth Proportional to 491.54, 678.32 and 295.05

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Solution

The fourth proportional to 491.54, 678.32 and 295.05 is: 407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.54 : 678.32 = 295.05 : x
  2. Step 2: Convert to fraction form
    491.54/678.32 = 295.05/x
  3. Step 3: Cross multiply
    491.54x = 678.32 × 295.05
  4. Step 4: Simplify right side
    491.54x = 200,138.32
  5. Step 5: Solve for x
    x = 200,138.32/491.54
  6. Step 6: Final answer
    x = 407.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.