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Finding the Fourth Proportional to 314.49, 468.07 and 311.45

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Solution

The fourth proportional to 314.49, 468.07 and 311.45 is: 463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.49 : 468.07 = 311.45 : x
  2. Step 2: Convert to fraction form
    314.49/468.07 = 311.45/x
  3. Step 3: Cross multiply
    314.49x = 468.07 × 311.45
  4. Step 4: Simplify right side
    314.49x = 145,780.40
  5. Step 5: Solve for x
    x = 145,780.40/314.49
  6. Step 6: Final answer
    x = 463.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.