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Finding the Fourth Proportional to 883.76, 1,325.26 and 306.68

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Solution

The fourth proportional to 883.76, 1,325.26 and 306.68 is: 459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.76 : 1,325.26 = 306.68 : x
  2. Step 2: Convert to fraction form
    883.76/1,325.26 = 306.68/x
  3. Step 3: Cross multiply
    883.76x = 1,325.26 × 306.68
  4. Step 4: Simplify right side
    883.76x = 406,430.74
  5. Step 5: Solve for x
    x = 406,430.74/883.76
  6. Step 6: Final answer
    x = 459.89

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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.