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Finding the Fourth Proportional to 508.40, 762.32 and 264.32

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Solution

The fourth proportional to 508.40, 762.32 and 264.32 is: 396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.40 : 762.32 = 264.32 : x
  2. Step 2: Convert to fraction form
    508.40/762.32 = 264.32/x
  3. Step 3: Cross multiply
    508.40x = 762.32 × 264.32
  4. Step 4: Simplify right side
    508.40x = 201,496.42
  5. Step 5: Solve for x
    x = 201,496.42/508.40
  6. Step 6: Final answer
    x = 396.33

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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.