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Finding the Fourth Proportional to 473.58, 709.74 and 424.56

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Solution

The fourth proportional to 473.58, 709.74 and 424.56 is: 636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.58 : 709.74 = 424.56 : x
  2. Step 2: Convert to fraction form
    473.58/709.74 = 424.56/x
  3. Step 3: Cross multiply
    473.58x = 709.74 × 424.56
  4. Step 4: Simplify right side
    473.58x = 301,327.21
  5. Step 5: Solve for x
    x = 301,327.21/473.58
  6. Step 6: Final answer
    x = 636.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.