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Finding the Fourth Proportional to 602.99, 904.54 and 309.69

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Solution

The fourth proportional to 602.99, 904.54 and 309.69 is: 464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.99 : 904.54 = 309.69 : x
  2. Step 2: Convert to fraction form
    602.99/904.54 = 309.69/x
  3. Step 3: Cross multiply
    602.99x = 904.54 × 309.69
  4. Step 4: Simplify right side
    602.99x = 280,122.47
  5. Step 5: Solve for x
    x = 280,122.47/602.99
  6. Step 6: Final answer
    x = 464.56

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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.