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Finding the Fourth Proportional to 704.64, 972.12 and 424.80

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Solution

The fourth proportional to 704.64, 972.12 and 424.80 is: 586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.64 : 972.12 = 424.80 : x
  2. Step 2: Convert to fraction form
    704.64/972.12 = 424.80/x
  3. Step 3: Cross multiply
    704.64x = 972.12 × 424.80
  4. Step 4: Simplify right side
    704.64x = 412,956.58
  5. Step 5: Solve for x
    x = 412,956.58/704.64
  6. Step 6: Final answer
    x = 586.05

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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.