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Finding the Fourth Proportional to 275.49, 411.45 and 237.06

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Solution

The fourth proportional to 275.49, 411.45 and 237.06 is: 354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.49 : 411.45 = 237.06 : x
  2. Step 2: Convert to fraction form
    275.49/411.45 = 237.06/x
  3. Step 3: Cross multiply
    275.49x = 411.45 × 237.06
  4. Step 4: Simplify right side
    275.49x = 97,538.34
  5. Step 5: Solve for x
    x = 97,538.34/275.49
  6. Step 6: Final answer
    x = 354.05

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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.