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Finding the Fourth Proportional to 305.02, 457.70 and 202.35

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Solution

The fourth proportional to 305.02, 457.70 and 202.35 is: 303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.02 : 457.70 = 202.35 : x
  2. Step 2: Convert to fraction form
    305.02/457.70 = 202.35/x
  3. Step 3: Cross multiply
    305.02x = 457.70 × 202.35
  4. Step 4: Simplify right side
    305.02x = 92,615.73
  5. Step 5: Solve for x
    x = 92,615.73/305.02
  6. Step 6: Final answer
    x = 303.64

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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.