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Finding the Fourth Proportional to 527.40, 727.25 and 522.14

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Solution

The fourth proportional to 527.40, 727.25 and 522.14 is: 719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.40 : 727.25 = 522.14 : x
  2. Step 2: Convert to fraction form
    527.40/727.25 = 522.14/x
  3. Step 3: Cross multiply
    527.40x = 727.25 × 522.14
  4. Step 4: Simplify right side
    527.40x = 379,720.07
  5. Step 5: Solve for x
    x = 379,720.07/527.40
  6. Step 6: Final answer
    x = 719.98

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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.