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Finding the Fourth Proportional to 850.24, 1,276.08 and 417.76

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Solution

The fourth proportional to 850.24, 1,276.08 and 417.76 is: 626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.24 : 1,276.08 = 417.76 : x
  2. Step 2: Convert to fraction form
    850.24/1,276.08 = 417.76/x
  3. Step 3: Cross multiply
    850.24x = 1,276.08 × 417.76
  4. Step 4: Simplify right side
    850.24x = 533,095.18
  5. Step 5: Solve for x
    x = 533,095.18/850.24
  6. Step 6: Final answer
    x = 626.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.