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Finding the Fourth Proportional to 452.51, 676.94 and 307.92

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Solution

The fourth proportional to 452.51, 676.94 and 307.92 is: 460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.51 : 676.94 = 307.92 : x
  2. Step 2: Convert to fraction form
    452.51/676.94 = 307.92/x
  3. Step 3: Cross multiply
    452.51x = 676.94 × 307.92
  4. Step 4: Simplify right side
    452.51x = 208,441.83
  5. Step 5: Solve for x
    x = 208,441.83/452.51
  6. Step 6: Final answer
    x = 460.64

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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.