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Finding the Fourth Proportional to 509.87, 765.02 and 250.10

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Solution

The fourth proportional to 509.87, 765.02 and 250.10 is: 375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.87 : 765.02 = 250.10 : x
  2. Step 2: Convert to fraction form
    509.87/765.02 = 250.10/x
  3. Step 3: Cross multiply
    509.87x = 765.02 × 250.10
  4. Step 4: Simplify right side
    509.87x = 191,331.50
  5. Step 5: Solve for x
    x = 191,331.50/509.87
  6. Step 6: Final answer
    x = 375.26

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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.