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Finding the Fourth Proportional to 452.98, 678.91 and 258.14

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Solution

The fourth proportional to 452.98, 678.91 and 258.14 is: 386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.98 : 678.91 = 258.14 : x
  2. Step 2: Convert to fraction form
    452.98/678.91 = 258.14/x
  3. Step 3: Cross multiply
    452.98x = 678.91 × 258.14
  4. Step 4: Simplify right side
    452.98x = 175,254.88
  5. Step 5: Solve for x
    x = 175,254.88/452.98
  6. Step 6: Final answer
    x = 386.90

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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.