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Finding the Fourth Proportional to 507, 759 and 419.96

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Solution

The fourth proportional to 507, 759 and 419.96 is: 628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507 : 759 = 419.96 : x
  2. Step 2: Convert to fraction form
    507/759 = 419.96/x
  3. Step 3: Cross multiply
    507x = 759 × 419.96
  4. Step 4: Simplify right side
    507x = 318,749.64
  5. Step 5: Solve for x
    x = 318,749.64/507
  6. Step 6: Final answer
    x = 628.70

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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.