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Finding the Fourth Proportional to 315.84, 435.60 and 314.22

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Solution

The fourth proportional to 315.84, 435.60 and 314.22 is: 433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.84 : 435.60 = 314.22 : x
  2. Step 2: Convert to fraction form
    315.84/435.60 = 314.22/x
  3. Step 3: Cross multiply
    315.84x = 435.60 × 314.22
  4. Step 4: Simplify right side
    315.84x = 136,874.23
  5. Step 5: Solve for x
    x = 136,874.23/315.84
  6. Step 6: Final answer
    x = 433.37

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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.