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Finding the Fourth Proportional to 530.85, 732.56 and 309.82

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Solution

The fourth proportional to 530.85, 732.56 and 309.82 is: 427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.85 : 732.56 = 309.82 : x
  2. Step 2: Convert to fraction form
    530.85/732.56 = 309.82/x
  3. Step 3: Cross multiply
    530.85x = 732.56 × 309.82
  4. Step 4: Simplify right side
    530.85x = 226,956.53
  5. Step 5: Solve for x
    x = 226,956.53/530.85
  6. Step 6: Final answer
    x = 427.53

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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.