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Finding the Fourth Proportional to 965.34, 1,446.93 and 416.70

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Solution

The fourth proportional to 965.34, 1,446.93 and 416.70 is: 624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.34 : 1,446.93 = 416.70 : x
  2. Step 2: Convert to fraction form
    965.34/1,446.93 = 416.70/x
  3. Step 3: Cross multiply
    965.34x = 1,446.93 × 416.70
  4. Step 4: Simplify right side
    965.34x = 602,935.73
  5. Step 5: Solve for x
    x = 602,935.73/965.34
  6. Step 6: Final answer
    x = 624.58

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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.