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Finding the Fourth Proportional to 530.20, 731.70 and 297.34

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Solution

The fourth proportional to 530.20, 731.70 and 297.34 is: 410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.20 : 731.70 = 297.34 : x
  2. Step 2: Convert to fraction form
    530.20/731.70 = 297.34/x
  3. Step 3: Cross multiply
    530.20x = 731.70 × 297.34
  4. Step 4: Simplify right side
    530.20x = 217,563.68
  5. Step 5: Solve for x
    x = 217,563.68/530.20
  6. Step 6: Final answer
    x = 410.34

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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.