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Finding the Fourth Proportional to 452.76, 624.72 and 278.16

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Solution

The fourth proportional to 452.76, 624.72 and 278.16 is: 383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.76 : 624.72 = 278.16 : x
  2. Step 2: Convert to fraction form
    452.76/624.72 = 278.16/x
  3. Step 3: Cross multiply
    452.76x = 624.72 × 278.16
  4. Step 4: Simplify right side
    452.76x = 173,772.12
  5. Step 5: Solve for x
    x = 173,772.12/452.76
  6. Step 6: Final answer
    x = 383.81

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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.