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Finding the Fourth Proportional to 654.69, 903.11 and 433.56

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Solution

The fourth proportional to 654.69, 903.11 and 433.56 is: 598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.69 : 903.11 = 433.56 : x
  2. Step 2: Convert to fraction form
    654.69/903.11 = 433.56/x
  3. Step 3: Cross multiply
    654.69x = 903.11 × 433.56
  4. Step 4: Simplify right side
    654.69x = 391,552.37
  5. Step 5: Solve for x
    x = 391,552.37/654.69
  6. Step 6: Final answer
    x = 598.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.