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Finding the Fourth Proportional to 527.56, 790.46 and 467.08

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Solution

The fourth proportional to 527.56, 790.46 and 467.08 is: 699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.56 : 790.46 = 467.08 : x
  2. Step 2: Convert to fraction form
    527.56/790.46 = 467.08/x
  3. Step 3: Cross multiply
    527.56x = 790.46 × 467.08
  4. Step 4: Simplify right side
    527.56x = 369,208.06
  5. Step 5: Solve for x
    x = 369,208.06/527.56
  6. Step 6: Final answer
    x = 699.84

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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.