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Finding the Fourth Proportional to 370.54, 554.64 and 233.11

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Solution

The fourth proportional to 370.54, 554.64 and 233.11 is: 348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.54 : 554.64 = 233.11 : x
  2. Step 2: Convert to fraction form
    370.54/554.64 = 233.11/x
  3. Step 3: Cross multiply
    370.54x = 554.64 × 233.11
  4. Step 4: Simplify right side
    370.54x = 129,292.13
  5. Step 5: Solve for x
    x = 129,292.13/370.54
  6. Step 6: Final answer
    x = 348.93

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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.