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Finding the Fourth Proportional to 654.48, 903.42 and 433.89

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Solution

The fourth proportional to 654.48, 903.42 and 433.89 is: 598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.48 : 903.42 = 433.89 : x
  2. Step 2: Convert to fraction form
    654.48/903.42 = 433.89/x
  3. Step 3: Cross multiply
    654.48x = 903.42 × 433.89
  4. Step 4: Simplify right side
    654.48x = 391,984.90
  5. Step 5: Solve for x
    x = 391,984.90/654.48
  6. Step 6: Final answer
    x = 598.93

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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.