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Finding the Fourth Proportional to 707.62, 976.56 and 427.85

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Solution

The fourth proportional to 707.62, 976.56 and 427.85 is: 590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.62 : 976.56 = 427.85 : x
  2. Step 2: Convert to fraction form
    707.62/976.56 = 427.85/x
  3. Step 3: Cross multiply
    707.62x = 976.56 × 427.85
  4. Step 4: Simplify right side
    707.62x = 417,816.31
  5. Step 5: Solve for x
    x = 417,816.31/707.62
  6. Step 6: Final answer
    x = 590.45

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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.