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Finding the Fourth Proportional to 505.24, 757.98 and 176.24

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Solution

The fourth proportional to 505.24, 757.98 and 176.24 is: 264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.24 : 757.98 = 176.24 : x
  2. Step 2: Convert to fraction form
    505.24/757.98 = 176.24/x
  3. Step 3: Cross multiply
    505.24x = 757.98 × 176.24
  4. Step 4: Simplify right side
    505.24x = 133,586.40
  5. Step 5: Solve for x
    x = 133,586.40/505.24
  6. Step 6: Final answer
    x = 264.40

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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.