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Finding the Fourth Proportional to 535.25, 802.90 and 506.16

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Solution

The fourth proportional to 535.25, 802.90 and 506.16 is: 759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.25 : 802.90 = 506.16 : x
  2. Step 2: Convert to fraction form
    535.25/802.90 = 506.16/x
  3. Step 3: Cross multiply
    535.25x = 802.90 × 506.16
  4. Step 4: Simplify right side
    535.25x = 406,389.32
  5. Step 5: Solve for x
    x = 406,389.32/535.25
  6. Step 6: Final answer
    x = 759.26

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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.