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Finding the Fourth Proportional to 704.20, 972.20 and 468.46

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Solution

The fourth proportional to 704.20, 972.20 and 468.46 is: 646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.20 : 972.20 = 468.46 : x
  2. Step 2: Convert to fraction form
    704.20/972.20 = 468.46/x
  3. Step 3: Cross multiply
    704.20x = 972.20 × 468.46
  4. Step 4: Simplify right side
    704.20x = 455,436.81
  5. Step 5: Solve for x
    x = 455,436.81/704.20
  6. Step 6: Final answer
    x = 646.74

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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.