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Finding the Fourth Proportional to 917.38, 1,375.84 and 429.94

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Solution

The fourth proportional to 917.38, 1,375.84 and 429.94 is: 644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.38 : 1,375.84 = 429.94 : x
  2. Step 2: Convert to fraction form
    917.38/1,375.84 = 429.94/x
  3. Step 3: Cross multiply
    917.38x = 1,375.84 × 429.94
  4. Step 4: Simplify right side
    917.38x = 591,528.65
  5. Step 5: Solve for x
    x = 591,528.65/917.38
  6. Step 6: Final answer
    x = 644.80

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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.