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Finding the Fourth Proportional to 654.34, 902.54 and 405.40

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Solution

The fourth proportional to 654.34, 902.54 and 405.40 is: 559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.34 : 902.54 = 405.40 : x
  2. Step 2: Convert to fraction form
    654.34/902.54 = 405.40/x
  3. Step 3: Cross multiply
    654.34x = 902.54 × 405.40
  4. Step 4: Simplify right side
    654.34x = 365,889.72
  5. Step 5: Solve for x
    x = 365,889.72/654.34
  6. Step 6: Final answer
    x = 559.17

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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.