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Finding the Fourth Proportional to 537.64, 805.75 and 293.63

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Solution

The fourth proportional to 537.64, 805.75 and 293.63 is: 440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.64 : 805.75 = 293.63 : x
  2. Step 2: Convert to fraction form
    537.64/805.75 = 293.63/x
  3. Step 3: Cross multiply
    537.64x = 805.75 × 293.63
  4. Step 4: Simplify right side
    537.64x = 236,587.61
  5. Step 5: Solve for x
    x = 236,587.61/537.64
  6. Step 6: Final answer
    x = 440.05

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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.