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Finding the Fourth Proportional to 707.68, 976.62 and 428.01

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Solution

The fourth proportional to 707.68, 976.62 and 428.01 is: 590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.68 : 976.62 = 428.01 : x
  2. Step 2: Convert to fraction form
    707.68/976.62 = 428.01/x
  3. Step 3: Cross multiply
    707.68x = 976.62 × 428.01
  4. Step 4: Simplify right side
    707.68x = 418,003.13
  5. Step 5: Solve for x
    x = 418,003.13/707.68
  6. Step 6: Final answer
    x = 590.67

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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.