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Finding the Fourth Proportional to 527.84, 728.60 and 341.64

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Solution

The fourth proportional to 527.84, 728.60 and 341.64 is: 471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.84 : 728.60 = 341.64 : x
  2. Step 2: Convert to fraction form
    527.84/728.60 = 341.64/x
  3. Step 3: Cross multiply
    527.84x = 728.60 × 341.64
  4. Step 4: Simplify right side
    527.84x = 248,918.90
  5. Step 5: Solve for x
    x = 248,918.90/527.84
  6. Step 6: Final answer
    x = 471.58

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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.