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Finding the Fourth Proportional to 452.60, 678.35 and 257.77

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Solution

The fourth proportional to 452.60, 678.35 and 257.77 is: 386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.60 : 678.35 = 257.77 : x
  2. Step 2: Convert to fraction form
    452.60/678.35 = 257.77/x
  3. Step 3: Cross multiply
    452.60x = 678.35 × 257.77
  4. Step 4: Simplify right side
    452.60x = 174,855.29
  5. Step 5: Solve for x
    x = 174,855.29/452.60
  6. Step 6: Final answer
    x = 386.33

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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.