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Finding the Fourth Proportional to 370.10, 510.84 and 349.04

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Solution

The fourth proportional to 370.10, 510.84 and 349.04 is: 481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.10 : 510.84 = 349.04 : x
  2. Step 2: Convert to fraction form
    370.10/510.84 = 349.04/x
  3. Step 3: Cross multiply
    370.10x = 510.84 × 349.04
  4. Step 4: Simplify right side
    370.10x = 178,303.59
  5. Step 5: Solve for x
    x = 178,303.59/370.10
  6. Step 6: Final answer
    x = 481.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.