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Finding the Fourth Proportional to 530.42, 731.77 and 306.31

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Solution

The fourth proportional to 530.42, 731.77 and 306.31 is: 422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.42 : 731.77 = 306.31 : x
  2. Step 2: Convert to fraction form
    530.42/731.77 = 306.31/x
  3. Step 3: Cross multiply
    530.42x = 731.77 × 306.31
  4. Step 4: Simplify right side
    530.42x = 224,150.36
  5. Step 5: Solve for x
    x = 224,150.36/530.42
  6. Step 6: Final answer
    x = 422.59

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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.