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Finding the Fourth Proportional to 697.22, 1,045.97 and 258.47

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Solution

The fourth proportional to 697.22, 1,045.97 and 258.47 is: 387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.22 : 1,045.97 = 258.47 : x
  2. Step 2: Convert to fraction form
    697.22/1,045.97 = 258.47/x
  3. Step 3: Cross multiply
    697.22x = 1,045.97 × 258.47
  4. Step 4: Simplify right side
    697.22x = 270,345.34
  5. Step 5: Solve for x
    x = 270,345.34/697.22
  6. Step 6: Final answer
    x = 387.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.