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Finding the Fourth Proportional to 505.84, 759.28 and 300.40

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Solution

The fourth proportional to 505.84, 759.28 and 300.40 is: 450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.84 : 759.28 = 300.40 : x
  2. Step 2: Convert to fraction form
    505.84/759.28 = 300.40/x
  3. Step 3: Cross multiply
    505.84x = 759.28 × 300.40
  4. Step 4: Simplify right side
    505.84x = 228,087.71
  5. Step 5: Solve for x
    x = 228,087.71/505.84
  6. Step 6: Final answer
    x = 450.91

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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.