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Finding the Fourth Proportional to 451.53, 623.00 and 265.01

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Solution

The fourth proportional to 451.53, 623.00 and 265.01 is: 365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.53 : 623.00 = 265.01 : x
  2. Step 2: Convert to fraction form
    451.53/623.00 = 265.01/x
  3. Step 3: Cross multiply
    451.53x = 623.00 × 265.01
  4. Step 4: Simplify right side
    451.53x = 165,098.78
  5. Step 5: Solve for x
    x = 165,098.78/451.53
  6. Step 6: Final answer
    x = 365.64

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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.