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Finding the Fourth Proportional to 521.48, 783.34 and 316.15

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Solution

The fourth proportional to 521.48, 783.34 and 316.15 is: 474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.48 : 783.34 = 316.15 : x
  2. Step 2: Convert to fraction form
    521.48/783.34 = 316.15/x
  3. Step 3: Cross multiply
    521.48x = 783.34 × 316.15
  4. Step 4: Simplify right side
    521.48x = 247,650.19
  5. Step 5: Solve for x
    x = 247,650.19/521.48
  6. Step 6: Final answer
    x = 474.90

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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.