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Finding the Fourth Proportional to 452.18, 623.83 and 347.09

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Solution

The fourth proportional to 452.18, 623.83 and 347.09 is: 478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.18 : 623.83 = 347.09 : x
  2. Step 2: Convert to fraction form
    452.18/623.83 = 347.09/x
  3. Step 3: Cross multiply
    452.18x = 623.83 × 347.09
  4. Step 4: Simplify right side
    452.18x = 216,521.17
  5. Step 5: Solve for x
    x = 216,521.17/452.18
  6. Step 6: Final answer
    x = 478.84

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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.