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Finding the Fourth Proportional to 715.16, 1,072.80 and 304.31

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Solution

The fourth proportional to 715.16, 1,072.80 and 304.31 is: 456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.16 : 1,072.80 = 304.31 : x
  2. Step 2: Convert to fraction form
    715.16/1,072.80 = 304.31/x
  3. Step 3: Cross multiply
    715.16x = 1,072.80 × 304.31
  4. Step 4: Simplify right side
    715.16x = 326,458.40
  5. Step 5: Solve for x
    x = 326,458.40/715.16
  6. Step 6: Final answer
    x = 456.49

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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.