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Finding the Fourth Proportional to 704.78, 972.30 and 425.02

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Solution

The fourth proportional to 704.78, 972.30 and 425.02 is: 586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.78 : 972.30 = 425.02 : x
  2. Step 2: Convert to fraction form
    704.78/972.30 = 425.02/x
  3. Step 3: Cross multiply
    704.78x = 972.30 × 425.02
  4. Step 4: Simplify right side
    704.78x = 413,246.95
  5. Step 5: Solve for x
    x = 413,246.95/704.78
  6. Step 6: Final answer
    x = 586.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.