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Finding the Fourth Proportional to 653.04, 978.89 and 409.73

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Solution

The fourth proportional to 653.04, 978.89 and 409.73 is: 614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.04 : 978.89 = 409.73 : x
  2. Step 2: Convert to fraction form
    653.04/978.89 = 409.73/x
  3. Step 3: Cross multiply
    653.04x = 978.89 × 409.73
  4. Step 4: Simplify right side
    653.04x = 401,080.60
  5. Step 5: Solve for x
    x = 401,080.60/653.04
  6. Step 6: Final answer
    x = 614.18

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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.