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Finding the Fourth Proportional to 902.34, 1,353.60 and 463.50

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Solution

The fourth proportional to 902.34, 1,353.60 and 463.50 is: 695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.34 : 1,353.60 = 463.50 : x
  2. Step 2: Convert to fraction form
    902.34/1,353.60 = 463.50/x
  3. Step 3: Cross multiply
    902.34x = 1,353.60 × 463.50
  4. Step 4: Simplify right side
    902.34x = 627,393.60
  5. Step 5: Solve for x
    x = 627,393.60/902.34
  6. Step 6: Final answer
    x = 695.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.