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Finding the Fourth Proportional to 536.04, 803.34 and 398.00

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Solution

The fourth proportional to 536.04, 803.34 and 398.00 is: 596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.04 : 803.34 = 398.00 : x
  2. Step 2: Convert to fraction form
    536.04/803.34 = 398.00/x
  3. Step 3: Cross multiply
    536.04x = 803.34 × 398.00
  4. Step 4: Simplify right side
    536.04x = 319,725.30
  5. Step 5: Solve for x
    x = 319,725.30/536.04
  6. Step 6: Final answer
    x = 596.46

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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.