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Finding the Fourth Proportional to 469.20, 702.90 and 286.06

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Solution

The fourth proportional to 469.20, 702.90 and 286.06 is: 428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.20 : 702.90 = 286.06 : x
  2. Step 2: Convert to fraction form
    469.20/702.90 = 286.06/x
  3. Step 3: Cross multiply
    469.20x = 702.90 × 286.06
  4. Step 4: Simplify right side
    469.20x = 201,071.57
  5. Step 5: Solve for x
    x = 201,071.57/469.20
  6. Step 6: Final answer
    x = 428.54

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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.