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Finding the Fourth Proportional to 704.64, 1,056.58 and 392.38

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Solution

The fourth proportional to 704.64, 1,056.58 and 392.38 is: 588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.64 : 1,056.58 = 392.38 : x
  2. Step 2: Convert to fraction form
    704.64/1,056.58 = 392.38/x
  3. Step 3: Cross multiply
    704.64x = 1,056.58 × 392.38
  4. Step 4: Simplify right side
    704.64x = 414,580.86
  5. Step 5: Solve for x
    x = 414,580.86/704.64
  6. Step 6: Final answer
    x = 588.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.