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Finding the Fourth Proportional to 654.04, 902.04 and 433.01

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Solution

The fourth proportional to 654.04, 902.04 and 433.01 is: 597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.04 : 902.04 = 433.01 : x
  2. Step 2: Convert to fraction form
    654.04/902.04 = 433.01/x
  3. Step 3: Cross multiply
    654.04x = 902.04 × 433.01
  4. Step 4: Simplify right side
    654.04x = 390,592.97
  5. Step 5: Solve for x
    x = 390,592.97/654.04
  6. Step 6: Final answer
    x = 597.20

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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.