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Finding the Fourth Proportional to 653.81, 902.16 and 373.95

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Solution

The fourth proportional to 653.81, 902.16 and 373.95 is: 516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.81 : 902.16 = 373.95 : x
  2. Step 2: Convert to fraction form
    653.81/902.16 = 373.95/x
  3. Step 3: Cross multiply
    653.81x = 902.16 × 373.95
  4. Step 4: Simplify right side
    653.81x = 337,362.73
  5. Step 5: Solve for x
    x = 337,362.73/653.81
  6. Step 6: Final answer
    x = 516.00

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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.