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Finding the Fourth Proportional to 916.35, 1,374.96 and 429.33

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Solution

The fourth proportional to 916.35, 1,374.96 and 429.33 is: 644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.35 : 1,374.96 = 429.33 : x
  2. Step 2: Convert to fraction form
    916.35/1,374.96 = 429.33/x
  3. Step 3: Cross multiply
    916.35x = 1,374.96 × 429.33
  4. Step 4: Simplify right side
    916.35x = 590,311.58
  5. Step 5: Solve for x
    x = 590,311.58/916.35
  6. Step 6: Final answer
    x = 644.20

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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.