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Finding the Fourth Proportional to 315.30, 419.03 and 315.30

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Solution

The fourth proportional to 315.30, 419.03 and 315.30 is: 419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.30 : 419.03 = 315.30 : x
  2. Step 2: Convert to fraction form
    315.30/419.03 = 315.30/x
  3. Step 3: Cross multiply
    315.30x = 419.03 × 315.30
  4. Step 4: Simplify right side
    315.30x = 132,118.58
  5. Step 5: Solve for x
    x = 132,118.58/315.30
  6. Step 6: Final answer
    x = 419.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.