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Finding the Fourth Proportional to 536.67, 803.93 and 420.57

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Solution

The fourth proportional to 536.67, 803.93 and 420.57 is: 630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.67 : 803.93 = 420.57 : x
  2. Step 2: Convert to fraction form
    536.67/803.93 = 420.57/x
  3. Step 3: Cross multiply
    536.67x = 803.93 × 420.57
  4. Step 4: Simplify right side
    536.67x = 338,104.82
  5. Step 5: Solve for x
    x = 338,104.82/536.67
  6. Step 6: Final answer
    x = 630.01

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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.