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Finding the Fourth Proportional to 530.37, 731.96 and 294.35

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Solution

The fourth proportional to 530.37, 731.96 and 294.35 is: 406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.37 : 731.96 = 294.35 : x
  2. Step 2: Convert to fraction form
    530.37/731.96 = 294.35/x
  3. Step 3: Cross multiply
    530.37x = 731.96 × 294.35
  4. Step 4: Simplify right side
    530.37x = 215,450.26
  5. Step 5: Solve for x
    x = 215,450.26/530.37
  6. Step 6: Final answer
    x = 406.22

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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.