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Finding the Fourth Proportional to 315.40, 438.30 and 311.54

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Solution

The fourth proportional to 315.40, 438.30 and 311.54 is: 432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.40 : 438.30 = 311.54 : x
  2. Step 2: Convert to fraction form
    315.40/438.30 = 311.54/x
  3. Step 3: Cross multiply
    315.40x = 438.30 × 311.54
  4. Step 4: Simplify right side
    315.40x = 136,547.98
  5. Step 5: Solve for x
    x = 136,547.98/315.40
  6. Step 6: Final answer
    x = 432.94

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.