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Finding the Fourth Proportional to 654.49, 903.24 and 433.06

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Solution

The fourth proportional to 654.49, 903.24 and 433.06 is: 597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.49 : 903.24 = 433.06 : x
  2. Step 2: Convert to fraction form
    654.49/903.24 = 433.06/x
  3. Step 3: Cross multiply
    654.49x = 903.24 × 433.06
  4. Step 4: Simplify right side
    654.49x = 391,157.11
  5. Step 5: Solve for x
    x = 391,157.11/654.49
  6. Step 6: Final answer
    x = 597.65

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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.