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Finding the Fourth Proportional to 507.60, 760.39 and 301.57

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Solution

The fourth proportional to 507.60, 760.39 and 301.57 is: 451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 760.39 = 301.57 : x
  2. Step 2: Convert to fraction form
    507.60/760.39 = 301.57/x
  3. Step 3: Cross multiply
    507.60x = 760.39 × 301.57
  4. Step 4: Simplify right side
    507.60x = 229,308.16
  5. Step 5: Solve for x
    x = 229,308.16/507.60
  6. Step 6: Final answer
    x = 451.75

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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.