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Finding the Fourth Proportional to 293.40, 437.01 and 292.08

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Solution

The fourth proportional to 293.40, 437.01 and 292.08 is: 435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.40 : 437.01 = 292.08 : x
  2. Step 2: Convert to fraction form
    293.40/437.01 = 292.08/x
  3. Step 3: Cross multiply
    293.40x = 437.01 × 292.08
  4. Step 4: Simplify right side
    293.40x = 127,641.88
  5. Step 5: Solve for x
    x = 127,641.88/293.40
  6. Step 6: Final answer
    x = 435.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.