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Finding the Fourth Proportional to 918.16, 1,377.31 and 430.94

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Solution

The fourth proportional to 918.16, 1,377.31 and 430.94 is: 646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.16 : 1,377.31 = 430.94 : x
  2. Step 2: Convert to fraction form
    918.16/1,377.31 = 430.94/x
  3. Step 3: Cross multiply
    918.16x = 1,377.31 × 430.94
  4. Step 4: Simplify right side
    918.16x = 593,537.97
  5. Step 5: Solve for x
    x = 593,537.97/918.16
  6. Step 6: Final answer
    x = 646.44

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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.