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Finding the Fourth Proportional to 522.68, 783.70 and 473.40

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Solution

The fourth proportional to 522.68, 783.70 and 473.40 is: 709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.68 : 783.70 = 473.40 : x
  2. Step 2: Convert to fraction form
    522.68/783.70 = 473.40/x
  3. Step 3: Cross multiply
    522.68x = 783.70 × 473.40
  4. Step 4: Simplify right side
    522.68x = 371,003.58
  5. Step 5: Solve for x
    x = 371,003.58/522.68
  6. Step 6: Final answer
    x = 709.81

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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.