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Finding the Fourth Proportional to 466.52, 703.28 and 402.02

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Solution

The fourth proportional to 466.52, 703.28 and 402.02 is: 606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.52 : 703.28 = 402.02 : x
  2. Step 2: Convert to fraction form
    466.52/703.28 = 402.02/x
  3. Step 3: Cross multiply
    466.52x = 703.28 × 402.02
  4. Step 4: Simplify right side
    466.52x = 282,732.63
  5. Step 5: Solve for x
    x = 282,732.63/466.52
  6. Step 6: Final answer
    x = 606.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.