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Finding the Fourth Proportional to 527.58, 728.01 and 417.33

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Solution

The fourth proportional to 527.58, 728.01 and 417.33 is: 575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.58 : 728.01 = 417.33 : x
  2. Step 2: Convert to fraction form
    527.58/728.01 = 417.33/x
  3. Step 3: Cross multiply
    527.58x = 728.01 × 417.33
  4. Step 4: Simplify right side
    527.58x = 303,820.41
  5. Step 5: Solve for x
    x = 303,820.41/527.58
  6. Step 6: Final answer
    x = 575.88

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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.