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Finding the Fourth Proportional to 527.61, 725.97 and 484.41

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Solution

The fourth proportional to 527.61, 725.97 and 484.41 is: 666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.61 : 725.97 = 484.41 : x
  2. Step 2: Convert to fraction form
    527.61/725.97 = 484.41/x
  3. Step 3: Cross multiply
    527.61x = 725.97 × 484.41
  4. Step 4: Simplify right side
    527.61x = 351,667.13
  5. Step 5: Solve for x
    x = 351,667.13/527.61
  6. Step 6: Final answer
    x = 666.53

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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.