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Finding the Fourth Proportional to 493.80, 740.70 and 384.45

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Solution

The fourth proportional to 493.80, 740.70 and 384.45 is: 576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.80 : 740.70 = 384.45 : x
  2. Step 2: Convert to fraction form
    493.80/740.70 = 384.45/x
  3. Step 3: Cross multiply
    493.80x = 740.70 × 384.45
  4. Step 4: Simplify right side
    493.80x = 284,762.12
  5. Step 5: Solve for x
    x = 284,762.12/493.80
  6. Step 6: Final answer
    x = 576.68

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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.