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Finding the Fourth Proportional to 602.95, 903 and 293.83

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Solution

The fourth proportional to 602.95, 903 and 293.83 is: 440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.95 : 903 = 293.83 : x
  2. Step 2: Convert to fraction form
    602.95/903 = 293.83/x
  3. Step 3: Cross multiply
    602.95x = 903 × 293.83
  4. Step 4: Simplify right side
    602.95x = 265,327.93
  5. Step 5: Solve for x
    x = 265,327.93/602.95
  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.