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Finding the Fourth Proportional to 500.21, 751.64 and 256.89

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Solution

The fourth proportional to 500.21, 751.64 and 256.89 is: 386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.21 : 751.64 = 256.89 : x
  2. Step 2: Convert to fraction form
    500.21/751.64 = 256.89/x
  3. Step 3: Cross multiply
    500.21x = 751.64 × 256.89
  4. Step 4: Simplify right side
    500.21x = 193,087.52
  5. Step 5: Solve for x
    x = 193,087.52/500.21
  6. Step 6: Final answer
    x = 386.02

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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.