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Finding the Fourth Proportional to 450.16, 621.14 and 293.01

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Solution

The fourth proportional to 450.16, 621.14 and 293.01 is: 404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.16 : 621.14 = 293.01 : x
  2. Step 2: Convert to fraction form
    450.16/621.14 = 293.01/x
  3. Step 3: Cross multiply
    450.16x = 621.14 × 293.01
  4. Step 4: Simplify right side
    450.16x = 182,000.23
  5. Step 5: Solve for x
    x = 182,000.23/450.16
  6. Step 6: Final answer
    x = 404.30

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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.