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Finding the Fourth Proportional to 697.29, 1,045.64 and 258.41

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Solution

The fourth proportional to 697.29, 1,045.64 and 258.41 is: 387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.29 : 1,045.64 = 258.41 : x
  2. Step 2: Convert to fraction form
    697.29/1,045.64 = 258.41/x
  3. Step 3: Cross multiply
    697.29x = 1,045.64 × 258.41
  4. Step 4: Simplify right side
    697.29x = 270,199.25
  5. Step 5: Solve for x
    x = 270,199.25/697.29
  6. Step 6: Final answer
    x = 387.50

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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.