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Finding the Fourth Proportional to 521.00, 781.49 and 429.32

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Solution

The fourth proportional to 521.00, 781.49 and 429.32 is: 643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.00 : 781.49 = 429.32 : x
  2. Step 2: Convert to fraction form
    521.00/781.49 = 429.32/x
  3. Step 3: Cross multiply
    521.00x = 781.49 × 429.32
  4. Step 4: Simplify right side
    521.00x = 335,509.09
  5. Step 5: Solve for x
    x = 335,509.09/521.00
  6. Step 6: Final answer
    x = 643.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.