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Finding the Fourth Proportional to 654.80, 903.67 and 433.36

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Solution

The fourth proportional to 654.80, 903.67 and 433.36 is: 598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.80 : 903.67 = 433.36 : x
  2. Step 2: Convert to fraction form
    654.80/903.67 = 433.36/x
  3. Step 3: Cross multiply
    654.80x = 903.67 × 433.36
  4. Step 4: Simplify right side
    654.80x = 391,614.48
  5. Step 5: Solve for x
    x = 391,614.48/654.80
  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.