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Finding the Fourth Proportional to 509.10, 765.26 and 487.50

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Solution

The fourth proportional to 509.10, 765.26 and 487.50 is: 732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.10 : 765.26 = 487.50 : x
  2. Step 2: Convert to fraction form
    509.10/765.26 = 487.50/x
  3. Step 3: Cross multiply
    509.10x = 765.26 × 487.50
  4. Step 4: Simplify right side
    509.10x = 373,064.25
  5. Step 5: Solve for x
    x = 373,064.25/509.10
  6. Step 6: Final answer
    x = 732.79

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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.