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Finding the Fourth Proportional to 527.45, 790.41 and 202.46

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Solution

The fourth proportional to 527.45, 790.41 and 202.46 is: 303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.45 : 790.41 = 202.46 : x
  2. Step 2: Convert to fraction form
    527.45/790.41 = 202.46/x
  3. Step 3: Cross multiply
    527.45x = 790.41 × 202.46
  4. Step 4: Simplify right side
    527.45x = 160,026.41
  5. Step 5: Solve for x
    x = 160,026.41/527.45
  6. Step 6: Final answer
    x = 303.40

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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.