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Finding the Fourth Proportional to 466.32, 698.52 and 405.36

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Solution

The fourth proportional to 466.32, 698.52 and 405.36 is: 607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.32 : 698.52 = 405.36 : x
  2. Step 2: Convert to fraction form
    466.32/698.52 = 405.36/x
  3. Step 3: Cross multiply
    466.32x = 698.52 × 405.36
  4. Step 4: Simplify right side
    466.32x = 283,152.07
  5. Step 5: Solve for x
    x = 283,152.07/466.32
  6. Step 6: Final answer
    x = 607.21

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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.