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Finding the Fourth Proportional to 370.11, 510.80 and 307.83

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Solution

The fourth proportional to 370.11, 510.80 and 307.83 is: 424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.11 : 510.80 = 307.83 : x
  2. Step 2: Convert to fraction form
    370.11/510.80 = 307.83/x
  3. Step 3: Cross multiply
    370.11x = 510.80 × 307.83
  4. Step 4: Simplify right side
    370.11x = 157,238.02
  5. Step 5: Solve for x
    x = 157,238.02/370.11
  6. Step 6: Final answer
    x = 424.84

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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.