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Finding the Fourth Proportional to 705.42, 973.53 and 425.82

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Solution

The fourth proportional to 705.42, 973.53 and 425.82 is: 587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.42 : 973.53 = 425.82 : x
  2. Step 2: Convert to fraction form
    705.42/973.53 = 425.82/x
  3. Step 3: Cross multiply
    705.42x = 973.53 × 425.82
  4. Step 4: Simplify right side
    705.42x = 414,548.54
  5. Step 5: Solve for x
    x = 414,548.54/705.42
  6. Step 6: Final answer
    x = 587.66

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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.