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Finding the Fourth Proportional to 654.69, 902.95 and 433.56

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Solution

The fourth proportional to 654.69, 902.95 and 433.56 is: 597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.69 : 902.95 = 433.56 : x
  2. Step 2: Convert to fraction form
    654.69/902.95 = 433.56/x
  3. Step 3: Cross multiply
    654.69x = 902.95 × 433.56
  4. Step 4: Simplify right side
    654.69x = 391,483.00
  5. Step 5: Solve for x
    x = 391,483.00/654.69
  6. Step 6: Final answer
    x = 597.97

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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.