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Finding the Fourth Proportional to 653.67, 901.69 and 391.54

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Solution

The fourth proportional to 653.67, 901.69 and 391.54 is: 540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.67 : 901.69 = 391.54 : x
  2. Step 2: Convert to fraction form
    653.67/901.69 = 391.54/x
  3. Step 3: Cross multiply
    653.67x = 901.69 × 391.54
  4. Step 4: Simplify right side
    653.67x = 353,045.94
  5. Step 5: Solve for x
    x = 353,045.94/653.67
  6. Step 6: Final answer
    x = 540.10

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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.