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Finding the Fourth Proportional to 707.71, 976.10 and 427.58

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Solution

The fourth proportional to 707.71, 976.10 and 427.58 is: 589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.71 : 976.10 = 427.58 : x
  2. Step 2: Convert to fraction form
    707.71/976.10 = 427.58/x
  3. Step 3: Cross multiply
    707.71x = 976.10 × 427.58
  4. Step 4: Simplify right side
    707.71x = 417,359.89
  5. Step 5: Solve for x
    x = 417,359.89/707.71
  6. Step 6: Final answer
    x = 589.73

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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.