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Finding the Fourth Proportional to 507.08, 759.34 and 464.84

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Solution

The fourth proportional to 507.08, 759.34 and 464.84 is: 696.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.08 : 759.34 = 464.84 : x
  2. Step 2: Convert to fraction form
    507.08/759.34 = 464.84/x
  3. Step 3: Cross multiply
    507.08x = 759.34 × 464.84
  4. Step 4: Simplify right side
    507.08x = 352,971.61
  5. Step 5: Solve for x
    x = 352,971.61/507.08
  6. Step 6: Final answer
    x = 696.09

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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.