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Finding the Fourth Proportional to 568.94, 854.16 and 384.46

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Solution

The fourth proportional to 568.94, 854.16 and 384.46 is: 577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.94 : 854.16 = 384.46 : x
  2. Step 2: Convert to fraction form
    568.94/854.16 = 384.46/x
  3. Step 3: Cross multiply
    568.94x = 854.16 × 384.46
  4. Step 4: Simplify right side
    568.94x = 328,388.22
  5. Step 5: Solve for x
    x = 328,388.22/568.94
  6. Step 6: Final answer
    x = 577.20

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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.