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Finding the Fourth Proportional to 468.18, 702.27 and 305.96

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Solution

The fourth proportional to 468.18, 702.27 and 305.96 is: 458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.18 : 702.27 = 305.96 : x
  2. Step 2: Convert to fraction form
    468.18/702.27 = 305.96/x
  3. Step 3: Cross multiply
    468.18x = 702.27 × 305.96
  4. Step 4: Simplify right side
    468.18x = 214,863.02
  5. Step 5: Solve for x
    x = 214,863.02/468.18
  6. Step 6: Final answer
    x = 458.93

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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.