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Finding the Fourth Proportional to 646.58, 968.16 and 440.84

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Solution

The fourth proportional to 646.58, 968.16 and 440.84 is: 660.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.58 : 968.16 = 440.84 : x
  2. Step 2: Convert to fraction form
    646.58/968.16 = 440.84/x
  3. Step 3: Cross multiply
    646.58x = 968.16 × 440.84
  4. Step 4: Simplify right side
    646.58x = 426,803.65
  5. Step 5: Solve for x
    x = 426,803.65/646.58
  6. Step 6: Final answer
    x = 660.09

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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.