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Finding the Fourth Proportional to 878.27, 1,317.08 and 415.67

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Solution

The fourth proportional to 878.27, 1,317.08 and 415.67 is: 623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.27 : 1,317.08 = 415.67 : x
  2. Step 2: Convert to fraction form
    878.27/1,317.08 = 415.67/x
  3. Step 3: Cross multiply
    878.27x = 1,317.08 × 415.67
  4. Step 4: Simplify right side
    878.27x = 547,465.10
  5. Step 5: Solve for x
    x = 547,465.10/878.27
  6. Step 6: Final answer
    x = 623.35

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Why These Related Problems?

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