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Finding the Fourth Proportional to 527.86, 728.29 and 416.98

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Solution

The fourth proportional to 527.86, 728.29 and 416.98 is: 575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.86 : 728.29 = 416.98 : x
  2. Step 2: Convert to fraction form
    527.86/728.29 = 416.98/x
  3. Step 3: Cross multiply
    527.86x = 728.29 × 416.98
  4. Step 4: Simplify right side
    527.86x = 303,682.36
  5. Step 5: Solve for x
    x = 303,682.36/527.86
  6. Step 6: Final answer
    x = 575.31

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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.