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Finding the Fourth Proportional to 600.49, 900.32 and 307.42

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Solution

The fourth proportional to 600.49, 900.32 and 307.42 is: 460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.49 : 900.32 = 307.42 : x
  2. Step 2: Convert to fraction form
    600.49/900.32 = 307.42/x
  3. Step 3: Cross multiply
    600.49x = 900.32 × 307.42
  4. Step 4: Simplify right side
    600.49x = 276,775.12
  5. Step 5: Solve for x
    x = 276,775.12/600.49
  6. Step 6: Final answer
    x = 460.92

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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.