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Finding the Fourth Proportional to 535.26, 802.14 and 291.90

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Solution

The fourth proportional to 535.26, 802.14 and 291.90 is: 437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.26 : 802.14 = 291.90 : x
  2. Step 2: Convert to fraction form
    535.26/802.14 = 291.90/x
  3. Step 3: Cross multiply
    535.26x = 802.14 × 291.90
  4. Step 4: Simplify right side
    535.26x = 234,144.67
  5. Step 5: Solve for x
    x = 234,144.67/535.26
  6. Step 6: Final answer
    x = 437.44

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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.