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Finding the Fourth Proportional to 505.27, 756.62 and 296.15

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Solution

The fourth proportional to 505.27, 756.62 and 296.15 is: 443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.27 : 756.62 = 296.15 : x
  2. Step 2: Convert to fraction form
    505.27/756.62 = 296.15/x
  3. Step 3: Cross multiply
    505.27x = 756.62 × 296.15
  4. Step 4: Simplify right side
    505.27x = 224,071.53
  5. Step 5: Solve for x
    x = 224,071.53/505.27
  6. Step 6: Final answer
    x = 443.47

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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.