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Finding the Fourth Proportional to 302.58, 452.98 and 271.32

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Solution

The fourth proportional to 302.58, 452.98 and 271.32 is: 406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.58 : 452.98 = 271.32 : x
  2. Step 2: Convert to fraction form
    302.58/452.98 = 271.32/x
  3. Step 3: Cross multiply
    302.58x = 452.98 × 271.32
  4. Step 4: Simplify right side
    302.58x = 122,902.53
  5. Step 5: Solve for x
    x = 122,902.53/302.58
  6. Step 6: Final answer
    x = 406.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.