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Finding the Fourth Proportional to 942.01, 1,412.64 and 292.57

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Solution

The fourth proportional to 942.01, 1,412.64 and 292.57 is: 438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.01 : 1,412.64 = 292.57 : x
  2. Step 2: Convert to fraction form
    942.01/1,412.64 = 292.57/x
  3. Step 3: Cross multiply
    942.01x = 1,412.64 × 292.57
  4. Step 4: Simplify right side
    942.01x = 413,296.08
  5. Step 5: Solve for x
    x = 413,296.08/942.01
  6. Step 6: Final answer
    x = 438.74

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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.