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Finding the Fourth Proportional to 452.05, 623.40 and 303.01

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Solution

The fourth proportional to 452.05, 623.40 and 303.01 is: 417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.05 : 623.40 = 303.01 : x
  2. Step 2: Convert to fraction form
    452.05/623.40 = 303.01/x
  3. Step 3: Cross multiply
    452.05x = 623.40 × 303.01
  4. Step 4: Simplify right side
    452.05x = 188,893.74
  5. Step 5: Solve for x
    x = 188,893.74/452.05
  6. Step 6: Final answer
    x = 417.86

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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.