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Finding the Fourth Proportional to 530.25, 731.75 and 297.38

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Solution

The fourth proportional to 530.25, 731.75 and 297.38 is: 410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.25 : 731.75 = 297.38 : x
  2. Step 2: Convert to fraction form
    530.25/731.75 = 297.38/x
  3. Step 3: Cross multiply
    530.25x = 731.75 × 297.38
  4. Step 4: Simplify right side
    530.25x = 217,607.82
  5. Step 5: Solve for x
    x = 217,607.82/530.25
  6. Step 6: Final answer
    x = 410.39

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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.