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Finding the Fourth Proportional to 923.10, 1,385.22 and 429.42

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Solution

The fourth proportional to 923.10, 1,385.22 and 429.42 is: 644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.10 : 1,385.22 = 429.42 : x
  2. Step 2: Convert to fraction form
    923.10/1,385.22 = 429.42/x
  3. Step 3: Cross multiply
    923.10x = 1,385.22 × 429.42
  4. Step 4: Simplify right side
    923.10x = 594,841.17
  5. Step 5: Solve for x
    x = 594,841.17/923.10
  6. Step 6: Final answer
    x = 644.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.