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Finding the Fourth Proportional to 715.04, 1,072.96 and 304.12

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Solution

The fourth proportional to 715.04, 1,072.96 and 304.12 is: 456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.04 : 1,072.96 = 304.12 : x
  2. Step 2: Convert to fraction form
    715.04/1,072.96 = 304.12/x
  3. Step 3: Cross multiply
    715.04x = 1,072.96 × 304.12
  4. Step 4: Simplify right side
    715.04x = 326,308.60
  5. Step 5: Solve for x
    x = 326,308.60/715.04
  6. Step 6: Final answer
    x = 456.35

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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.