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Finding the Fourth Proportional to 653.54, 901.82 and 369.94

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Solution

The fourth proportional to 653.54, 901.82 and 369.94 is: 510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.54 : 901.82 = 369.94 : x
  2. Step 2: Convert to fraction form
    653.54/901.82 = 369.94/x
  3. Step 3: Cross multiply
    653.54x = 901.82 × 369.94
  4. Step 4: Simplify right side
    653.54x = 333,619.29
  5. Step 5: Solve for x
    x = 333,619.29/653.54
  6. Step 6: Final answer
    x = 510.48

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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.