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Finding the Fourth Proportional to 653.96, 902.40 and 444.08

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Solution

The fourth proportional to 653.96, 902.40 and 444.08 is: 612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.96 : 902.40 = 444.08 : x
  2. Step 2: Convert to fraction form
    653.96/902.40 = 444.08/x
  3. Step 3: Cross multiply
    653.96x = 902.40 × 444.08
  4. Step 4: Simplify right side
    653.96x = 400,737.79
  5. Step 5: Solve for x
    x = 400,737.79/653.96
  6. Step 6: Final answer
    x = 612.79

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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.