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Finding the Fourth Proportional to 573.95, 789.65 and 500.45

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Solution

The fourth proportional to 573.95, 789.65 and 500.45 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.95 : 789.65 = 500.45 : x
  2. Step 2: Convert to fraction form
    573.95/789.65 = 500.45/x
  3. Step 3: Cross multiply
    573.95x = 789.65 × 500.45
  4. Step 4: Simplify right side
    573.95x = 395,175.77
  5. Step 5: Solve for x
    x = 395,175.77/573.95
  6. Step 6: Final answer
    x = 688.52

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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.