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Finding the Fourth Proportional to 548.64, 756.48 and 437.76

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Solution

The fourth proportional to 548.64, 756.48 and 437.76 is: 603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.64 : 756.48 = 437.76 : x
  2. Step 2: Convert to fraction form
    548.64/756.48 = 437.76/x
  3. Step 3: Cross multiply
    548.64x = 756.48 × 437.76
  4. Step 4: Simplify right side
    548.64x = 331,156.68
  5. Step 5: Solve for x
    x = 331,156.68/548.64
  6. Step 6: Final answer
    x = 603.60

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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.