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Finding the Fourth Proportional to 707.53, 976.49 and 427.80

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Solution

The fourth proportional to 707.53, 976.49 and 427.80 is: 590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.53 : 976.49 = 427.80 : x
  2. Step 2: Convert to fraction form
    707.53/976.49 = 427.80/x
  3. Step 3: Cross multiply
    707.53x = 976.49 × 427.80
  4. Step 4: Simplify right side
    707.53x = 417,740.28
  5. Step 5: Solve for x
    x = 417,740.28/707.53
  6. Step 6: Final answer
    x = 590.42

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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.