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Finding the Fourth Proportional to 508.08, 761.72 and 264.84

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Solution

The fourth proportional to 508.08, 761.72 and 264.84 is: 397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.08 : 761.72 = 264.84 : x
  2. Step 2: Convert to fraction form
    508.08/761.72 = 264.84/x
  3. Step 3: Cross multiply
    508.08x = 761.72 × 264.84
  4. Step 4: Simplify right side
    508.08x = 201,733.92
  5. Step 5: Solve for x
    x = 201,733.92/508.08
  6. Step 6: Final answer
    x = 397.05

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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.