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Finding the Fourth Proportional to 568.07, 783.74 and 346.94

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Solution

The fourth proportional to 568.07, 783.74 and 346.94 is: 478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.07 : 783.74 = 346.94 : x
  2. Step 2: Convert to fraction form
    568.07/783.74 = 346.94/x
  3. Step 3: Cross multiply
    568.07x = 783.74 × 346.94
  4. Step 4: Simplify right side
    568.07x = 271,905.10
  5. Step 5: Solve for x
    x = 271,905.10/568.07
  6. Step 6: Final answer
    x = 478.65

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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.