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Finding the Fourth Proportional to 450.20, 621.46 and 295

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Solution

The fourth proportional to 450.20, 621.46 and 295 is: 407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.20 : 621.46 = 295 : x
  2. Step 2: Convert to fraction form
    450.20/621.46 = 295/x
  3. Step 3: Cross multiply
    450.20x = 621.46 × 295
  4. Step 4: Simplify right side
    450.20x = 183,330.70
  5. Step 5: Solve for x
    x = 183,330.70/450.20
  6. Step 6: Final answer
    x = 407.22

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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.