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Finding the Fourth Proportional to 452.06, 623.27 and 294.47

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Solution

The fourth proportional to 452.06, 623.27 and 294.47 is: 406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.06 : 623.27 = 294.47 : x
  2. Step 2: Convert to fraction form
    452.06/623.27 = 294.47/x
  3. Step 3: Cross multiply
    452.06x = 623.27 × 294.47
  4. Step 4: Simplify right side
    452.06x = 183,534.27
  5. Step 5: Solve for x
    x = 183,534.27/452.06
  6. Step 6: Final answer
    x = 406.00

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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.