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Finding the Fourth Proportional to 370.54, 510.86 and 303.90

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Solution

The fourth proportional to 370.54, 510.86 and 303.90 is: 418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.54 : 510.86 = 303.90 : x
  2. Step 2: Convert to fraction form
    370.54/510.86 = 303.90/x
  3. Step 3: Cross multiply
    370.54x = 510.86 × 303.90
  4. Step 4: Simplify right side
    370.54x = 155,250.35
  5. Step 5: Solve for x
    x = 155,250.35/370.54
  6. Step 6: Final answer
    x = 418.99

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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.