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Finding the Fourth Proportional to 530.37, 731.85 and 294.27

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Solution

The fourth proportional to 530.37, 731.85 and 294.27 is: 406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.37 : 731.85 = 294.27 : x
  2. Step 2: Convert to fraction form
    530.37/731.85 = 294.27/x
  3. Step 3: Cross multiply
    530.37x = 731.85 × 294.27
  4. Step 4: Simplify right side
    530.37x = 215,361.50
  5. Step 5: Solve for x
    x = 215,361.50/530.37
  6. Step 6: Final answer
    x = 406.06

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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.