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Finding the Fourth Proportional to 488.34, 675.81 and 457.65

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Solution

The fourth proportional to 488.34, 675.81 and 457.65 is: 633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.34 : 675.81 = 457.65 : x
  2. Step 2: Convert to fraction form
    488.34/675.81 = 457.65/x
  3. Step 3: Cross multiply
    488.34x = 675.81 × 457.65
  4. Step 4: Simplify right side
    488.34x = 309,284.45
  5. Step 5: Solve for x
    x = 309,284.45/488.34
  6. Step 6: Final answer
    x = 633.34

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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.