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Finding the Fourth Proportional to 315.51, 434.88 and 269.00

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Solution

The fourth proportional to 315.51, 434.88 and 269.00 is: 370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.51 : 434.88 = 269.00 : x
  2. Step 2: Convert to fraction form
    315.51/434.88 = 269.00/x
  3. Step 3: Cross multiply
    315.51x = 434.88 × 269.00
  4. Step 4: Simplify right side
    315.51x = 116,983.81
  5. Step 5: Solve for x
    x = 116,983.81/315.51
  6. Step 6: Final answer
    x = 370.78

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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.