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Finding the Fourth Proportional to 654.41, 902.95 and 405.74

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Solution

The fourth proportional to 654.41, 902.95 and 405.74 is: 559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.41 : 902.95 = 405.74 : x
  2. Step 2: Convert to fraction form
    654.41/902.95 = 405.74/x
  3. Step 3: Cross multiply
    654.41x = 902.95 × 405.74
  4. Step 4: Simplify right side
    654.41x = 366,364.18
  5. Step 5: Solve for x
    x = 366,364.18/654.41
  6. Step 6: Final answer
    x = 559.84

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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.