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Finding the Fourth Proportional to 535.66, 802.77 and 301.59

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Solution

The fourth proportional to 535.66, 802.77 and 301.59 is: 451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.66 : 802.77 = 301.59 : x
  2. Step 2: Convert to fraction form
    535.66/802.77 = 301.59/x
  3. Step 3: Cross multiply
    535.66x = 802.77 × 301.59
  4. Step 4: Simplify right side
    535.66x = 242,101.88
  5. Step 5: Solve for x
    x = 242,101.88/535.66
  6. Step 6: Final answer
    x = 451.97

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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.