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Finding the Fourth Proportional to 922.38, 1,382.90 and 435.16

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Solution

The fourth proportional to 922.38, 1,382.90 and 435.16 is: 652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.38 : 1,382.90 = 435.16 : x
  2. Step 2: Convert to fraction form
    922.38/1,382.90 = 435.16/x
  3. Step 3: Cross multiply
    922.38x = 1,382.90 × 435.16
  4. Step 4: Simplify right side
    922.38x = 601,782.76
  5. Step 5: Solve for x
    x = 601,782.76/922.38
  6. Step 6: Final answer
    x = 652.42

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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.