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Finding the Fourth Proportional to 707.82, 976.65 and 427.98

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Solution

The fourth proportional to 707.82, 976.65 and 427.98 is: 590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.82 : 976.65 = 427.98 : x
  2. Step 2: Convert to fraction form
    707.82/976.65 = 427.98/x
  3. Step 3: Cross multiply
    707.82x = 976.65 × 427.98
  4. Step 4: Simplify right side
    707.82x = 417,986.67
  5. Step 5: Solve for x
    x = 417,986.67/707.82
  6. Step 6: Final answer
    x = 590.53

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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.