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Finding the Fourth Proportional to 530.94, 732.68 and 321.29

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Solution

The fourth proportional to 530.94, 732.68 and 321.29 is: 443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.94 : 732.68 = 321.29 : x
  2. Step 2: Convert to fraction form
    530.94/732.68 = 321.29/x
  3. Step 3: Cross multiply
    530.94x = 732.68 × 321.29
  4. Step 4: Simplify right side
    530.94x = 235,402.76
  5. Step 5: Solve for x
    x = 235,402.76/530.94
  6. Step 6: Final answer
    x = 443.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.