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Finding the Fourth Proportional to 669.47, 924.16 and 448.49

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Solution

The fourth proportional to 669.47, 924.16 and 448.49 is: 619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.47 : 924.16 = 448.49 : x
  2. Step 2: Convert to fraction form
    669.47/924.16 = 448.49/x
  3. Step 3: Cross multiply
    669.47x = 924.16 × 448.49
  4. Step 4: Simplify right side
    669.47x = 414,473.35
  5. Step 5: Solve for x
    x = 414,473.35/669.47
  6. Step 6: Final answer
    x = 619.11

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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.