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Finding the Fourth Proportional to 527.58, 726.98 and 403.25

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Solution

The fourth proportional to 527.58, 726.98 and 403.25 is: 555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.58 : 726.98 = 403.25 : x
  2. Step 2: Convert to fraction form
    527.58/726.98 = 403.25/x
  3. Step 3: Cross multiply
    527.58x = 726.98 × 403.25
  4. Step 4: Simplify right side
    527.58x = 293,149.03
  5. Step 5: Solve for x
    x = 293,149.03/527.58
  6. Step 6: Final answer
    x = 555.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.