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Finding the Fourth Proportional to 508.15, 762.63 and 264.76

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Solution

The fourth proportional to 508.15, 762.63 and 264.76 is: 397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.15 : 762.63 = 264.76 : x
  2. Step 2: Convert to fraction form
    508.15/762.63 = 264.76/x
  3. Step 3: Cross multiply
    508.15x = 762.63 × 264.76
  4. Step 4: Simplify right side
    508.15x = 201,913.92
  5. Step 5: Solve for x
    x = 201,913.92/508.15
  6. Step 6: Final answer
    x = 397.35

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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.