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Finding the Fourth Proportional to 653.74, 902.14 and 359.02

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Solution

The fourth proportional to 653.74, 902.14 and 359.02 is: 495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.74 : 902.14 = 359.02 : x
  2. Step 2: Convert to fraction form
    653.74/902.14 = 359.02/x
  3. Step 3: Cross multiply
    653.74x = 902.14 × 359.02
  4. Step 4: Simplify right side
    653.74x = 323,886.30
  5. Step 5: Solve for x
    x = 323,886.30/653.74
  6. Step 6: Final answer
    x = 495.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.