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Finding the Fourth Proportional to 530.14, 731.62 and 297.26

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Solution

The fourth proportional to 530.14, 731.62 and 297.26 is: 410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.14 : 731.62 = 297.26 : x
  2. Step 2: Convert to fraction form
    530.14/731.62 = 297.26/x
  3. Step 3: Cross multiply
    530.14x = 731.62 × 297.26
  4. Step 4: Simplify right side
    530.14x = 217,481.36
  5. Step 5: Solve for x
    x = 217,481.36/530.14
  6. Step 6: Final answer
    x = 410.23

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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.