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Finding the Fourth Proportional to 705.46, 973.65 and 425.74

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Solution

The fourth proportional to 705.46, 973.65 and 425.74 is: 587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.46 : 973.65 = 425.74 : x
  2. Step 2: Convert to fraction form
    705.46/973.65 = 425.74/x
  3. Step 3: Cross multiply
    705.46x = 973.65 × 425.74
  4. Step 4: Simplify right side
    705.46x = 414,521.33
  5. Step 5: Solve for x
    x = 414,521.33/705.46
  6. Step 6: Final answer
    x = 587.59

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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.