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Finding the Fourth Proportional to 632.99, 949.02 and 340.46

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Solution

The fourth proportional to 632.99, 949.02 and 340.46 is: 510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.99 : 949.02 = 340.46 : x
  2. Step 2: Convert to fraction form
    632.99/949.02 = 340.46/x
  3. Step 3: Cross multiply
    632.99x = 949.02 × 340.46
  4. Step 4: Simplify right side
    632.99x = 323,103.35
  5. Step 5: Solve for x
    x = 323,103.35/632.99
  6. Step 6: Final answer
    x = 510.44

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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.