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Finding the Fourth Proportional to 594.53, 891.76 and 316.45

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Solution

The fourth proportional to 594.53, 891.76 and 316.45 is: 474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.53 : 891.76 = 316.45 : x
  2. Step 2: Convert to fraction form
    594.53/891.76 = 316.45/x
  3. Step 3: Cross multiply
    594.53x = 891.76 × 316.45
  4. Step 4: Simplify right side
    594.53x = 282,198.37
  5. Step 5: Solve for x
    x = 282,198.37/594.53
  6. Step 6: Final answer
    x = 474.66

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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.