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Finding the Fourth Proportional to 580.77, 870.75 and 493.73

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Solution

The fourth proportional to 580.77, 870.75 and 493.73 is: 740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.77 : 870.75 = 493.73 : x
  2. Step 2: Convert to fraction form
    580.77/870.75 = 493.73/x
  3. Step 3: Cross multiply
    580.77x = 870.75 × 493.73
  4. Step 4: Simplify right side
    580.77x = 429,914.31
  5. Step 5: Solve for x
    x = 429,914.31/580.77
  6. Step 6: Final answer
    x = 740.25

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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.