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Finding the Fourth Proportional to 527.51, 727.94 and 317.78

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Solution

The fourth proportional to 527.51, 727.94 and 317.78 is: 438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.51 : 727.94 = 317.78 : x
  2. Step 2: Convert to fraction form
    527.51/727.94 = 317.78/x
  3. Step 3: Cross multiply
    527.51x = 727.94 × 317.78
  4. Step 4: Simplify right side
    527.51x = 231,319.54
  5. Step 5: Solve for x
    x = 231,319.54/527.51
  6. Step 6: Final answer
    x = 438.52

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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.