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Finding the Fourth Proportional to 535.53, 802.85 and 210.72

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Solution

The fourth proportional to 535.53, 802.85 and 210.72 is: 315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.53 : 802.85 = 210.72 : x
  2. Step 2: Convert to fraction form
    535.53/802.85 = 210.72/x
  3. Step 3: Cross multiply
    535.53x = 802.85 × 210.72
  4. Step 4: Simplify right side
    535.53x = 169,175.50
  5. Step 5: Solve for x
    x = 169,175.50/535.53
  6. Step 6: Final answer
    x = 315.90

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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.