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Finding the Fourth Proportional to 527.78, 728.70 and 417.80

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Solution

The fourth proportional to 527.78, 728.70 and 417.80 is: 576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.78 : 728.70 = 417.80 : x
  2. Step 2: Convert to fraction form
    527.78/728.70 = 417.80/x
  3. Step 3: Cross multiply
    527.78x = 728.70 × 417.80
  4. Step 4: Simplify right side
    527.78x = 304,450.86
  5. Step 5: Solve for x
    x = 304,450.86/527.78
  6. Step 6: Final answer
    x = 576.85

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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.