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Finding the Fourth Proportional to 602.82, 904.23 and 310.41

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Solution

The fourth proportional to 602.82, 904.23 and 310.41 is: 465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.82 : 904.23 = 310.41 : x
  2. Step 2: Convert to fraction form
    602.82/904.23 = 310.41/x
  3. Step 3: Cross multiply
    602.82x = 904.23 × 310.41
  4. Step 4: Simplify right side
    602.82x = 280,678.64
  5. Step 5: Solve for x
    x = 280,678.64/602.82
  6. Step 6: Final answer
    x = 465.61

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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.