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Finding the Fourth Proportional to 535.08, 802.26 and 398.10

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Solution

The fourth proportional to 535.08, 802.26 and 398.10 is: 596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.08 : 802.26 = 398.10 : x
  2. Step 2: Convert to fraction form
    535.08/802.26 = 398.10/x
  3. Step 3: Cross multiply
    535.08x = 802.26 × 398.10
  4. Step 4: Simplify right side
    535.08x = 319,379.71
  5. Step 5: Solve for x
    x = 319,379.71/535.08
  6. Step 6: Final answer
    x = 596.88

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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.