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Finding the Fourth Proportional to 452.13, 678.10 and 127.53

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Solution

The fourth proportional to 452.13, 678.10 and 127.53 is: 191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.13 : 678.10 = 127.53 : x
  2. Step 2: Convert to fraction form
    452.13/678.10 = 127.53/x
  3. Step 3: Cross multiply
    452.13x = 678.10 × 127.53
  4. Step 4: Simplify right side
    452.13x = 86,477.46
  5. Step 5: Solve for x
    x = 86,477.46/452.13
  6. Step 6: Final answer
    x = 191.27

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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.