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Finding the Fourth Proportional to 468.64, 702.88 and 286

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Solution

The fourth proportional to 468.64, 702.88 and 286 is: 428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.64 : 702.88 = 286 : x
  2. Step 2: Convert to fraction form
    468.64/702.88 = 286/x
  3. Step 3: Cross multiply
    468.64x = 702.88 × 286
  4. Step 4: Simplify right side
    468.64x = 201,023.68
  5. Step 5: Solve for x
    x = 201,023.68/468.64
  6. Step 6: Final answer
    x = 428.95

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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.