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Finding the Fourth Proportional to 520.04, 783.23 and 473.96

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Solution

The fourth proportional to 520.04, 783.23 and 473.96 is: 713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.04 : 783.23 = 473.96 : x
  2. Step 2: Convert to fraction form
    520.04/783.23 = 473.96/x
  3. Step 3: Cross multiply
    520.04x = 783.23 × 473.96
  4. Step 4: Simplify right side
    520.04x = 371,219.69
  5. Step 5: Solve for x
    x = 371,219.69/520.04
  6. Step 6: Final answer
    x = 713.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.