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Finding the Fourth Proportional to 527.04, 727.52 and 320

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Solution

The fourth proportional to 527.04, 727.52 and 320 is: 441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.04 : 727.52 = 320 : x
  2. Step 2: Convert to fraction form
    527.04/727.52 = 320/x
  3. Step 3: Cross multiply
    527.04x = 727.52 × 320
  4. Step 4: Simplify right side
    527.04x = 232,806.40
  5. Step 5: Solve for x
    x = 232,806.40/527.04
  6. Step 6: Final answer
    x = 441.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.