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Finding the Fourth Proportional to 450.53, 621.32 and 293.00

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Solution

The fourth proportional to 450.53, 621.32 and 293.00 is: 404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.53 : 621.32 = 293.00 : x
  2. Step 2: Convert to fraction form
    450.53/621.32 = 293.00/x
  3. Step 3: Cross multiply
    450.53x = 621.32 × 293.00
  4. Step 4: Simplify right side
    450.53x = 182,042.19
  5. Step 5: Solve for x
    x = 182,042.19/450.53
  6. Step 6: Final answer
    x = 404.07

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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.