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Finding the Fourth Proportional to 705.18, 973.06 and 425.38

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Solution

The fourth proportional to 705.18, 973.06 and 425.38 is: 586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.18 : 973.06 = 425.38 : x
  2. Step 2: Convert to fraction form
    705.18/973.06 = 425.38/x
  3. Step 3: Cross multiply
    705.18x = 973.06 × 425.38
  4. Step 4: Simplify right side
    705.18x = 413,920.26
  5. Step 5: Solve for x
    x = 413,920.26/705.18
  6. Step 6: Final answer
    x = 586.97

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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.