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Finding the Fourth Proportional to 507.50, 700.33 and 297.67

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Solution

The fourth proportional to 507.50, 700.33 and 297.67 is: 410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.50 : 700.33 = 297.67 : x
  2. Step 2: Convert to fraction form
    507.50/700.33 = 297.67/x
  3. Step 3: Cross multiply
    507.50x = 700.33 × 297.67
  4. Step 4: Simplify right side
    507.50x = 208,467.98
  5. Step 5: Solve for x
    x = 208,467.98/507.50
  6. Step 6: Final answer
    x = 410.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.