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Finding the Fourth Proportional to 528.66, 794.19 and 455.76

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Solution

The fourth proportional to 528.66, 794.19 and 455.76 is: 684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.66 : 794.19 = 455.76 : x
  2. Step 2: Convert to fraction form
    528.66/794.19 = 455.76/x
  3. Step 3: Cross multiply
    528.66x = 794.19 × 455.76
  4. Step 4: Simplify right side
    528.66x = 361,960.03
  5. Step 5: Solve for x
    x = 361,960.03/528.66
  6. Step 6: Final answer
    x = 684.67

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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.