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Finding the Fourth Proportional to 527.64, 790.25 and 397.23

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Solution

The fourth proportional to 527.64, 790.25 and 397.23 is: 594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.64 : 790.25 = 397.23 : x
  2. Step 2: Convert to fraction form
    527.64/790.25 = 397.23/x
  3. Step 3: Cross multiply
    527.64x = 790.25 × 397.23
  4. Step 4: Simplify right side
    527.64x = 313,909.02
  5. Step 5: Solve for x
    x = 313,909.02/527.64
  6. Step 6: Final answer
    x = 594.93

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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.