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Finding the Fourth Proportional to 501.14, 750.48 and 306.23

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Solution

The fourth proportional to 501.14, 750.48 and 306.23 is: 458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.14 : 750.48 = 306.23 : x
  2. Step 2: Convert to fraction form
    501.14/750.48 = 306.23/x
  3. Step 3: Cross multiply
    501.14x = 750.48 × 306.23
  4. Step 4: Simplify right side
    501.14x = 229,815.74
  5. Step 5: Solve for x
    x = 229,815.74/501.14
  6. Step 6: Final answer
    x = 458.59

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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.