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Finding the Fourth Proportional to 530.75, 732.42 and 309.84

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Solution

The fourth proportional to 530.75, 732.42 and 309.84 is: 427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.75 : 732.42 = 309.84 : x
  2. Step 2: Convert to fraction form
    530.75/732.42 = 309.84/x
  3. Step 3: Cross multiply
    530.75x = 732.42 × 309.84
  4. Step 4: Simplify right side
    530.75x = 226,933.01
  5. Step 5: Solve for x
    x = 226,933.01/530.75
  6. Step 6: Final answer
    x = 427.57

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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.