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Finding the Fourth Proportional to 707.28, 976.08 and 427.56

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Solution

The fourth proportional to 707.28, 976.08 and 427.56 is: 590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.28 : 976.08 = 427.56 : x
  2. Step 2: Convert to fraction form
    707.28/976.08 = 427.56/x
  3. Step 3: Cross multiply
    707.28x = 976.08 × 427.56
  4. Step 4: Simplify right side
    707.28x = 417,332.76
  5. Step 5: Solve for x
    x = 417,332.76/707.28
  6. Step 6: Final answer
    x = 590.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.