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Finding the Fourth Proportional to 507.36, 759.52 and 386.08

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Solution

The fourth proportional to 507.36, 759.52 and 386.08 is: 577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.36 : 759.52 = 386.08 : x
  2. Step 2: Convert to fraction form
    507.36/759.52 = 386.08/x
  3. Step 3: Cross multiply
    507.36x = 759.52 × 386.08
  4. Step 4: Simplify right side
    507.36x = 293,235.48
  5. Step 5: Solve for x
    x = 293,235.48/507.36
  6. Step 6: Final answer
    x = 577.96

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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.