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Finding the Fourth Proportional to 452.90, 624.96 and 275.87

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Solution

The fourth proportional to 452.90, 624.96 and 275.87 is: 380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.90 : 624.96 = 275.87 : x
  2. Step 2: Convert to fraction form
    452.90/624.96 = 275.87/x
  3. Step 3: Cross multiply
    452.90x = 624.96 × 275.87
  4. Step 4: Simplify right side
    452.90x = 172,404.59
  5. Step 5: Solve for x
    x = 172,404.59/452.90
  6. Step 6: Final answer
    x = 380.67

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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.