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Finding the Fourth Proportional to 535.56, 802.53 and 398.00

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Solution

The fourth proportional to 535.56, 802.53 and 398.00 is: 596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.56 : 802.53 = 398.00 : x
  2. Step 2: Convert to fraction form
    535.56/802.53 = 398.00/x
  3. Step 3: Cross multiply
    535.56x = 802.53 × 398.00
  4. Step 4: Simplify right side
    535.56x = 319,402.93
  5. Step 5: Solve for x
    x = 319,402.93/535.56
  6. Step 6: Final answer
    x = 596.39

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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.