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Finding the Fourth Proportional to 568.06, 783.94 and 316.01

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Solution

The fourth proportional to 568.06, 783.94 and 316.01 is: 436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.06 : 783.94 = 316.01 : x
  2. Step 2: Convert to fraction form
    568.06/783.94 = 316.01/x
  3. Step 3: Cross multiply
    568.06x = 783.94 × 316.01
  4. Step 4: Simplify right side
    568.06x = 247,731.62
  5. Step 5: Solve for x
    x = 247,731.62/568.06
  6. Step 6: Final answer
    x = 436.10

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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.