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Finding the Fourth Proportional to 521.14, 718.49 and 432.30

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Solution

The fourth proportional to 521.14, 718.49 and 432.30 is: 596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.14 : 718.49 = 432.30 : x
  2. Step 2: Convert to fraction form
    521.14/718.49 = 432.30/x
  3. Step 3: Cross multiply
    521.14x = 718.49 × 432.30
  4. Step 4: Simplify right side
    521.14x = 310,603.23
  5. Step 5: Solve for x
    x = 310,603.23/521.14
  6. Step 6: Final answer
    x = 596.01

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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.