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Finding the Fourth Proportional to 715.48, 1,072.69 and 304.81

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Solution

The fourth proportional to 715.48, 1,072.69 and 304.81 is: 456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.48 : 1,072.69 = 304.81 : x
  2. Step 2: Convert to fraction form
    715.48/1,072.69 = 304.81/x
  3. Step 3: Cross multiply
    715.48x = 1,072.69 × 304.81
  4. Step 4: Simplify right side
    715.48x = 326,970.94
  5. Step 5: Solve for x
    x = 326,970.94/715.48
  6. Step 6: Final answer
    x = 456.99

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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.