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Finding the Fourth Proportional to 573.05, 788.76 and 478.76

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Solution

The fourth proportional to 573.05, 788.76 and 478.76 is: 658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.05 : 788.76 = 478.76 : x
  2. Step 2: Convert to fraction form
    573.05/788.76 = 478.76/x
  3. Step 3: Cross multiply
    573.05x = 788.76 × 478.76
  4. Step 4: Simplify right side
    573.05x = 377,622.79
  5. Step 5: Solve for x
    x = 377,622.79/573.05
  6. Step 6: Final answer
    x = 658.98

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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.