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Finding the Fourth Proportional to 715.30, 1,072.93 and 304.31

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Solution

The fourth proportional to 715.30, 1,072.93 and 304.31 is: 456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.30 : 1,072.93 = 304.31 : x
  2. Step 2: Convert to fraction form
    715.30/1,072.93 = 304.31/x
  3. Step 3: Cross multiply
    715.30x = 1,072.93 × 304.31
  4. Step 4: Simplify right side
    715.30x = 326,503.33
  5. Step 5: Solve for x
    x = 326,503.33/715.30
  6. Step 6: Final answer
    x = 456.46

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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.