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Finding the Fourth Proportional to 536.33, 805.07 and 407.17

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Solution

The fourth proportional to 536.33, 805.07 and 407.17 is: 611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.33 : 805.07 = 407.17 : x
  2. Step 2: Convert to fraction form
    536.33/805.07 = 407.17/x
  3. Step 3: Cross multiply
    536.33x = 805.07 × 407.17
  4. Step 4: Simplify right side
    536.33x = 327,802.38
  5. Step 5: Solve for x
    x = 327,802.38/536.33
  6. Step 6: Final answer
    x = 611.19

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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.