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Finding the Fourth Proportional to 315.78, 434.91 and 260.51

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Solution

The fourth proportional to 315.78, 434.91 and 260.51 is: 358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.78 : 434.91 = 260.51 : x
  2. Step 2: Convert to fraction form
    315.78/434.91 = 260.51/x
  3. Step 3: Cross multiply
    315.78x = 434.91 × 260.51
  4. Step 4: Simplify right side
    315.78x = 113,296.23
  5. Step 5: Solve for x
    x = 113,296.23/315.78
  6. Step 6: Final answer
    x = 358.78

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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.