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Finding the Fourth Proportional to 527.02, 790.14 and 253.30

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Solution

The fourth proportional to 527.02, 790.14 and 253.30 is: 379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.02 : 790.14 = 253.30 : x
  2. Step 2: Convert to fraction form
    527.02/790.14 = 253.30/x
  3. Step 3: Cross multiply
    527.02x = 790.14 × 253.30
  4. Step 4: Simplify right side
    527.02x = 200,142.46
  5. Step 5: Solve for x
    x = 200,142.46/527.02
  6. Step 6: Final answer
    x = 379.76

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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.