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Finding the Fourth Proportional to 527.51, 788.88 and 395.83

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Solution

The fourth proportional to 527.51, 788.88 and 395.83 is: 591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.51 : 788.88 = 395.83 : x
  2. Step 2: Convert to fraction form
    527.51/788.88 = 395.83/x
  3. Step 3: Cross multiply
    527.51x = 788.88 × 395.83
  4. Step 4: Simplify right side
    527.51x = 312,262.37
  5. Step 5: Solve for x
    x = 312,262.37/527.51
  6. Step 6: Final answer
    x = 591.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.