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Finding the Fourth Proportional to 669.93, 924.46 and 448.84

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Solution

The fourth proportional to 669.93, 924.46 and 448.84 is: 619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.93 : 924.46 = 448.84 : x
  2. Step 2: Convert to fraction form
    669.93/924.46 = 448.84/x
  3. Step 3: Cross multiply
    669.93x = 924.46 × 448.84
  4. Step 4: Simplify right side
    669.93x = 414,934.63
  5. Step 5: Solve for x
    x = 414,934.63/669.93
  6. Step 6: Final answer
    x = 619.37

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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.