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Finding the Fourth Proportional to 521.36, 781.48 and 277.64

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Solution

The fourth proportional to 521.36, 781.48 and 277.64 is: 416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.36 : 781.48 = 277.64 : x
  2. Step 2: Convert to fraction form
    521.36/781.48 = 277.64/x
  3. Step 3: Cross multiply
    521.36x = 781.48 × 277.64
  4. Step 4: Simplify right side
    521.36x = 216,970.11
  5. Step 5: Solve for x
    x = 216,970.11/521.36
  6. Step 6: Final answer
    x = 416.16

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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.