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Finding the Fourth Proportional to 452.67, 675.08 and 394.35

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Solution

The fourth proportional to 452.67, 675.08 and 394.35 is: 588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.67 : 675.08 = 394.35 : x
  2. Step 2: Convert to fraction form
    452.67/675.08 = 394.35/x
  3. Step 3: Cross multiply
    452.67x = 675.08 × 394.35
  4. Step 4: Simplify right side
    452.67x = 266,215.83
  5. Step 5: Solve for x
    x = 266,215.83/452.67
  6. Step 6: Final answer
    x = 588.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.