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Finding the Fourth Proportional to 527.93, 728.75 and 353.21

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Solution

The fourth proportional to 527.93, 728.75 and 353.21 is: 487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.93 : 728.75 = 353.21 : x
  2. Step 2: Convert to fraction form
    527.93/728.75 = 353.21/x
  3. Step 3: Cross multiply
    527.93x = 728.75 × 353.21
  4. Step 4: Simplify right side
    527.93x = 257,401.79
  5. Step 5: Solve for x
    x = 257,401.79/527.93
  6. Step 6: Final answer
    x = 487.57

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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.