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Finding the Fourth Proportional to 535.18, 802.89 and 246.64

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Solution

The fourth proportional to 535.18, 802.89 and 246.64 is: 370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.18 : 802.89 = 246.64 : x
  2. Step 2: Convert to fraction form
    535.18/802.89 = 246.64/x
  3. Step 3: Cross multiply
    535.18x = 802.89 × 246.64
  4. Step 4: Simplify right side
    535.18x = 198,024.79
  5. Step 5: Solve for x
    x = 198,024.79/535.18
  6. Step 6: Final answer
    x = 370.02

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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.