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Finding the Fourth Proportional to 508.75, 762.64 and 264.98

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Solution

The fourth proportional to 508.75, 762.64 and 264.98 is: 397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.75 : 762.64 = 264.98 : x
  2. Step 2: Convert to fraction form
    508.75/762.64 = 264.98/x
  3. Step 3: Cross multiply
    508.75x = 762.64 × 264.98
  4. Step 4: Simplify right side
    508.75x = 202,084.35
  5. Step 5: Solve for x
    x = 202,084.35/508.75
  6. Step 6: Final answer
    x = 397.22

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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.