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Finding the Fourth Proportional to 491.95, 678.63 and 295.35

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Solution

The fourth proportional to 491.95, 678.63 and 295.35 is: 407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.95 : 678.63 = 295.35 : x
  2. Step 2: Convert to fraction form
    491.95/678.63 = 295.35/x
  3. Step 3: Cross multiply
    491.95x = 678.63 × 295.35
  4. Step 4: Simplify right side
    491.95x = 200,429.98
  5. Step 5: Solve for x
    x = 200,429.98/491.95
  6. Step 6: Final answer
    x = 407.42

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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.