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Finding the Fourth Proportional to 491.76, 678.75 and 295.32

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Solution

The fourth proportional to 491.76, 678.75 and 295.32 is: 407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.76 : 678.75 = 295.32 : x
  2. Step 2: Convert to fraction form
    491.76/678.75 = 295.32/x
  3. Step 3: Cross multiply
    491.76x = 678.75 × 295.32
  4. Step 4: Simplify right side
    491.76x = 200,448.45
  5. Step 5: Solve for x
    x = 200,448.45/491.76
  6. Step 6: Final answer
    x = 407.61

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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.