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Finding the Fourth Proportional to 384.57, 577.94 and 289.53

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Solution

The fourth proportional to 384.57, 577.94 and 289.53 is: 435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.57 : 577.94 = 289.53 : x
  2. Step 2: Convert to fraction form
    384.57/577.94 = 289.53/x
  3. Step 3: Cross multiply
    384.57x = 577.94 × 289.53
  4. Step 4: Simplify right side
    384.57x = 167,329.52
  5. Step 5: Solve for x
    x = 167,329.52/384.57
  6. Step 6: Final answer
    x = 435.11

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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.