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Finding the Fourth Proportional to 527.02, 727.08 and 360.94

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Solution

The fourth proportional to 527.02, 727.08 and 360.94 is: 497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.02 : 727.08 = 360.94 : x
  2. Step 2: Convert to fraction form
    527.02/727.08 = 360.94/x
  3. Step 3: Cross multiply
    527.02x = 727.08 × 360.94
  4. Step 4: Simplify right side
    527.02x = 262,432.26
  5. Step 5: Solve for x
    x = 262,432.26/527.02
  6. Step 6: Final answer
    x = 497.96

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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.