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Finding the Fourth Proportional to 304.59, 420.14 and 265.71

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Solution

The fourth proportional to 304.59, 420.14 and 265.71 is: 366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.59 : 420.14 = 265.71 : x
  2. Step 2: Convert to fraction form
    304.59/420.14 = 265.71/x
  3. Step 3: Cross multiply
    304.59x = 420.14 × 265.71
  4. Step 4: Simplify right side
    304.59x = 111,636.06
  5. Step 5: Solve for x
    x = 111,636.06/304.59
  6. Step 6: Final answer
    x = 366.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.