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Finding the Fourth Proportional to 653.76, 902.40 and 447.36

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Solution

The fourth proportional to 653.76, 902.40 and 447.36 is: 617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.76 : 902.40 = 447.36 : x
  2. Step 2: Convert to fraction form
    653.76/902.40 = 447.36/x
  3. Step 3: Cross multiply
    653.76x = 902.40 × 447.36
  4. Step 4: Simplify right side
    653.76x = 403,697.66
  5. Step 5: Solve for x
    x = 403,697.66/653.76
  6. Step 6: Final answer
    x = 617.50

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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.