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Finding the Fourth Proportional to 312.14, 468 and 260.51

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Solution

The fourth proportional to 312.14, 468 and 260.51 is: 390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.14 : 468 = 260.51 : x
  2. Step 2: Convert to fraction form
    312.14/468 = 260.51/x
  3. Step 3: Cross multiply
    312.14x = 468 × 260.51
  4. Step 4: Simplify right side
    312.14x = 121,916.34
  5. Step 5: Solve for x
    x = 121,916.34/312.14
  6. Step 6: Final answer
    x = 390.59

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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.