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Finding the Fourth Proportional to 501.94, 751.90 and 258.13

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Solution

The fourth proportional to 501.94, 751.90 and 258.13 is: 386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.94 : 751.90 = 258.13 : x
  2. Step 2: Convert to fraction form
    501.94/751.90 = 258.13/x
  3. Step 3: Cross multiply
    501.94x = 751.90 × 258.13
  4. Step 4: Simplify right side
    501.94x = 194,087.95
  5. Step 5: Solve for x
    x = 194,087.95/501.94
  6. Step 6: Final answer
    x = 386.68

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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.