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Finding the Fourth Proportional to 530.63, 732.26 and 323.63

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Solution

The fourth proportional to 530.63, 732.26 and 323.63 is: 446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.63 : 732.26 = 323.63 : x
  2. Step 2: Convert to fraction form
    530.63/732.26 = 323.63/x
  3. Step 3: Cross multiply
    530.63x = 732.26 × 323.63
  4. Step 4: Simplify right side
    530.63x = 236,978.45
  5. Step 5: Solve for x
    x = 236,978.45/530.63
  6. Step 6: Final answer
    x = 446.60

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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.