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Finding the Fourth Proportional to 654.21, 902.21 and 433.01

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Solution

The fourth proportional to 654.21, 902.21 and 433.01 is: 597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.21 : 902.21 = 433.01 : x
  2. Step 2: Convert to fraction form
    654.21/902.21 = 433.01/x
  3. Step 3: Cross multiply
    654.21x = 902.21 × 433.01
  4. Step 4: Simplify right side
    654.21x = 390,666.04
  5. Step 5: Solve for x
    x = 390,666.04/654.21
  6. Step 6: Final answer
    x = 597.16

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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.