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Finding the Fourth Proportional to 452.39, 623.57 and 304.76

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Solution

The fourth proportional to 452.39, 623.57 and 304.76 is: 420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.39 : 623.57 = 304.76 : x
  2. Step 2: Convert to fraction form
    452.39/623.57 = 304.76/x
  3. Step 3: Cross multiply
    452.39x = 623.57 × 304.76
  4. Step 4: Simplify right side
    452.39x = 190,039.19
  5. Step 5: Solve for x
    x = 190,039.19/452.39
  6. Step 6: Final answer
    x = 420.08

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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.