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Finding the Fourth Proportional to 527.85, 728.53 and 403.29

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Solution

The fourth proportional to 527.85, 728.53 and 403.29 is: 556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.85 : 728.53 = 403.29 : x
  2. Step 2: Convert to fraction form
    527.85/728.53 = 403.29/x
  3. Step 3: Cross multiply
    527.85x = 728.53 × 403.29
  4. Step 4: Simplify right side
    527.85x = 293,807.86
  5. Step 5: Solve for x
    x = 293,807.86/527.85
  6. Step 6: Final answer
    x = 556.61

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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.