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Finding the Fourth Proportional to 535.23, 802.53 and 275.22

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Solution

The fourth proportional to 535.23, 802.53 and 275.22 is: 412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.23 : 802.53 = 275.22 : x
  2. Step 2: Convert to fraction form
    535.23/802.53 = 275.22/x
  3. Step 3: Cross multiply
    535.23x = 802.53 × 275.22
  4. Step 4: Simplify right side
    535.23x = 220,872.31
  5. Step 5: Solve for x
    x = 220,872.31/535.23
  6. Step 6: Final answer
    x = 412.67

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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.