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Finding the Fourth Proportional to 650.88, 896.76 and 417.60

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Solution

The fourth proportional to 650.88, 896.76 and 417.60 is: 575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.88 : 896.76 = 417.60 : x
  2. Step 2: Convert to fraction form
    650.88/896.76 = 417.60/x
  3. Step 3: Cross multiply
    650.88x = 896.76 × 417.60
  4. Step 4: Simplify right side
    650.88x = 374,486.98
  5. Step 5: Solve for x
    x = 374,486.98/650.88
  6. Step 6: Final answer
    x = 575.35

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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.