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Finding the Fourth Proportional to 917.10, 1,374.75 and 429.90

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Solution

The fourth proportional to 917.10, 1,374.75 and 429.90 is: 644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.10 : 1,374.75 = 429.90 : x
  2. Step 2: Convert to fraction form
    917.10/1,374.75 = 429.90/x
  3. Step 3: Cross multiply
    917.10x = 1,374.75 × 429.90
  4. Step 4: Simplify right side
    917.10x = 591,005.03
  5. Step 5: Solve for x
    x = 591,005.03/917.10
  6. Step 6: Final answer
    x = 644.43

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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.