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Finding the Fourth Proportional to 521.04, 720.88 and 511.84

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Solution

The fourth proportional to 521.04, 720.88 and 511.84 is: 708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.04 : 720.88 = 511.84 : x
  2. Step 2: Convert to fraction form
    521.04/720.88 = 511.84/x
  3. Step 3: Cross multiply
    521.04x = 720.88 × 511.84
  4. Step 4: Simplify right side
    521.04x = 368,975.22
  5. Step 5: Solve for x
    x = 368,975.22/521.04
  6. Step 6: Final answer
    x = 708.15

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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.