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Finding the Fourth Proportional to 530.72, 732.34 and 309.64

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Solution

The fourth proportional to 530.72, 732.34 and 309.64 is: 427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.72 : 732.34 = 309.64 : x
  2. Step 2: Convert to fraction form
    530.72/732.34 = 309.64/x
  3. Step 3: Cross multiply
    530.72x = 732.34 × 309.64
  4. Step 4: Simplify right side
    530.72x = 226,761.76
  5. Step 5: Solve for x
    x = 226,761.76/530.72
  6. Step 6: Final answer
    x = 427.27

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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.