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Finding the Fourth Proportional to 584.72, 807.37 and 453.50

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Solution

The fourth proportional to 584.72, 807.37 and 453.50 is: 626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.72 : 807.37 = 453.50 : x
  2. Step 2: Convert to fraction form
    584.72/807.37 = 453.50/x
  3. Step 3: Cross multiply
    584.72x = 807.37 × 453.50
  4. Step 4: Simplify right side
    584.72x = 366,140.15
  5. Step 5: Solve for x
    x = 366,140.15/584.72
  6. Step 6: Final answer
    x = 626.18

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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.