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Finding the Fourth Proportional to 521.36, 783.15 and 316.02

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Solution

The fourth proportional to 521.36, 783.15 and 316.02 is: 474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.36 : 783.15 = 316.02 : x
  2. Step 2: Convert to fraction form
    521.36/783.15 = 316.02/x
  3. Step 3: Cross multiply
    521.36x = 783.15 × 316.02
  4. Step 4: Simplify right side
    521.36x = 247,491.06
  5. Step 5: Solve for x
    x = 247,491.06/521.36
  6. Step 6: Final answer
    x = 474.70

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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.