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Finding the Fourth Proportional to 653.88, 902.30 and 373.98

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Solution

The fourth proportional to 653.88, 902.30 and 373.98 is: 516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.88 : 902.30 = 373.98 : x
  2. Step 2: Convert to fraction form
    653.88/902.30 = 373.98/x
  3. Step 3: Cross multiply
    653.88x = 902.30 × 373.98
  4. Step 4: Simplify right side
    653.88x = 337,440.28
  5. Step 5: Solve for x
    x = 337,440.28/653.88
  6. Step 6: Final answer
    x = 516.06

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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.