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Finding the Fourth Proportional to 723.12, 1,083.21 and 358.26

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Solution

The fourth proportional to 723.12, 1,083.21 and 358.26 is: 536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.12 : 1,083.21 = 358.26 : x
  2. Step 2: Convert to fraction form
    723.12/1,083.21 = 358.26/x
  3. Step 3: Cross multiply
    723.12x = 1,083.21 × 358.26
  4. Step 4: Simplify right side
    723.12x = 388,070.81
  5. Step 5: Solve for x
    x = 388,070.81/723.12
  6. Step 6: Final answer
    x = 536.66

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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.