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Finding the Fourth Proportional to 535.24, 802.30 and 361.96

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Solution

The fourth proportional to 535.24, 802.30 and 361.96 is: 542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.24 : 802.30 = 361.96 : x
  2. Step 2: Convert to fraction form
    535.24/802.30 = 361.96/x
  3. Step 3: Cross multiply
    535.24x = 802.30 × 361.96
  4. Step 4: Simplify right side
    535.24x = 290,400.51
  5. Step 5: Solve for x
    x = 290,400.51/535.24
  6. Step 6: Final answer
    x = 542.56

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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.