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Finding the Fourth Proportional to 403.07, 604.37 and 152.80

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Solution

The fourth proportional to 403.07, 604.37 and 152.80 is: 229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.07 : 604.37 = 152.80 : x
  2. Step 2: Convert to fraction form
    403.07/604.37 = 152.80/x
  3. Step 3: Cross multiply
    403.07x = 604.37 × 152.80
  4. Step 4: Simplify right side
    403.07x = 92,347.74
  5. Step 5: Solve for x
    x = 92,347.74/403.07
  6. Step 6: Final answer
    x = 229.11

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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.