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Finding the Fourth Proportional to 536.93, 804.15 and 457.98

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Solution

The fourth proportional to 536.93, 804.15 and 457.98 is: 685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.93 : 804.15 = 457.98 : x
  2. Step 2: Convert to fraction form
    536.93/804.15 = 457.98/x
  3. Step 3: Cross multiply
    536.93x = 804.15 × 457.98
  4. Step 4: Simplify right side
    536.93x = 368,284.62
  5. Step 5: Solve for x
    x = 368,284.62/536.93
  6. Step 6: Final answer
    x = 685.91

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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.