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Finding the Fourth Proportional to 468.16, 702.48 and 285.64

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Solution

The fourth proportional to 468.16, 702.48 and 285.64 is: 428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.16 : 702.48 = 285.64 : x
  2. Step 2: Convert to fraction form
    468.16/702.48 = 285.64/x
  3. Step 3: Cross multiply
    468.16x = 702.48 × 285.64
  4. Step 4: Simplify right side
    468.16x = 200,656.39
  5. Step 5: Solve for x
    x = 200,656.39/468.16
  6. Step 6: Final answer
    x = 428.61

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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.